FINITE ELEMENT CIRCUS TALKS

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Fall, 2015, University of Massachusetts, Dartmouth

Lise-Marie Imbert-Gerard New York University Generalized plane waves for variable coefficients; h-version
Kamana Porwal Louisiana State University FEM for an elliptic optimal control problem with control constraints
Tom Lewis University of North Carolina at Greensboro Generalized monotone LDG methods for second order full nonlinear PDEs
Constantin Bacuta University of Delaware Saddle point least squares for mixed methods
Mengying Xiao Clemson University On reducing the splitting error in Yosida methods for the Navier-Stokes equations with grad-div stabilization
Bradley McCaskill University of Wyoming A locally conservative stabilized continuous Galerin FEM for multiphase flow in poroelastic subsurfaces
Vaclav Kucera Brown University Sufficient and necessary conditions for FEM convergence
Mingchao Cai Morgan State University Overlapping Schwarz methods with a standard coarse space for almost incompressible linear elasticity
Xu Zhang Purdue University Superconvergence of immersed FEM
Jichun Li Unversity of Nevada Las Vegas Finite element analysis and modeling of carpet cloak
Gerard Awanou University of Illinois at Chicago Finite element approximations of the Aleksandrov solution of the Monge-Ampere equation
Yi Zhang The University of Tennessee, Knoxville FEM for the stochastic Allen-Cahn equation with multiplicative gradient type noise
Allan Hungria University of Delaware HDG method for time-harmonic elasticity solutions
Shangyou Zhang University of Delaware A P_2 non-conforming finite element on tetrahedral grids
Tonatiuh Sanchez-Vizuet University of Delaware BEM/FEM coupling for transient wave-structure interaction
Tong Sun Bowling Green State University Numerical smoothness for parabolic equations
Jue Yan Iowa State University Third order maximum principle preserving direct DG method for convection-diffusion equations on unstructured triangular meshes
Sara Pollock Texas A&M University Adaptive regularization strategies for nonlinear PDE
Manuel Sanchez Brown University FEM for interface problems
Amanda Diegel Louisiana State University An answer to the question: what about scheme for the Cahn-Hilliard-Navier-Stokes equation?
Alexandre Madureira LNCC-Brazil A hybrid mixed method for elasticity
Yang Yang Michigan Technological University Local discontinuous Galerkin method for KS chemotaxis model
Quanling Deng University of Wyoming Construction of locally conservative fluxws from continuous Galerkin FEM solutions
Dmitriy Leykekhman University of Connecticut Discrete parabolic maximal regularity and its applications
Leo Rebholz Clemson University Unconditional long-time stability for a velocity-vorticity method for 2-D Navier-Stokes
Prosper Torsu University of Wyoming A stochastic basis mehtod for UQ for elliptic BVPs: an application to wellbore placement
Douglas Arnold University of Minnesota Computing eigenvalues without solving eigenvalue problems
Qingsong Zou Sun Yat-sen University An unconditionally stable quadratic finite volume mehtod over triangular meshes
Cagnur Corekli The University of Connecticut DG method for Dirichlet boundary control problem
Matthew Hassell University of Delaware BEM-FEM coupling for transient acoustics

Spring, 2015, George Mason University

Pablo Venegas University of Maryland Optimal control of magnetic nanoparticles
Shangyou Zhang University of Delaware A 2D P3 H3-nonconforming finite element
Minah Oh James Madison University De Rham complexes arising from Fourier finite element methods in axisymmetric domains
Peter Monk University of Delaware Time domain scattering from gratings
Nabil Chaabane Virginia Tech University Imeersed finite elements for the Stokes interface problem
Yanlai Chen UMass Dartmouth Reduced basis decomposition
Shawn Walker Louisiana University University A finite element method for liquid crytals with variable degree of orientation
Joscha Gedicke Louisiana University University Adaptive C^0 interior penalty method for an optimal control problem
Harbir Antil George Mason University Fractional optimal control problem
Amanda Diegel University of Tennessee A second order (in time) mixed method for the Cahn-Hilliard equation
Wujun Zhang University of Maryland A rate of convergence for the Monge-Ampere equation
Filander A. Sequeira Universidad de Concepcion, Chile A posteriori error analysis of an augmented HDG method for a class of quasi-Newtonian Stokes flows
Hengguang Li Wanye State University Finite element methods on W_p^1
Francisco Sayas University of Delaware Interfacing FEM and BEM in wave simulation
Enrique Otarola University of Maryland; George Mason University A pde approach to space-time fractional parabolic equations
Duk-Soon Oh Rutgers University Adaptive BDDC methods for Raviart-Thomas vector fields
Xu Zhang Purdue University Discontinuous Galerkin immersed finite element methods
Pierre Cantin ENPC (CERMICS) Compatible discrete operator schemes for advection-diffusion problems on polyhedral meshes
Yang Yang Michigan Tech University Positivity-preserving LDG methods for parabolic equations with blow-up solutions
Kihyo Moon Virginia Tech University An immersed discontinuous Galerkin method for the acoustic interface problem
Slimane Adjerid Virginia Tech University Immersed finite elements for interface problems
Buyang Li Nanjing University An L^p approach to analyze Galerkin FEM for parabolic equations with low-regularity structure
Jiquang Sun Michigan Tech University Recursive integral method for an eigenvalue problem
Manuel Sanchez-Uribe Brown University Polynomial interpolation in the Bernstein basis
Constantin Bacuta University of Delaware Saddle point least-squares for div-curl problems
Xiaoming He Missouri University of Science and Technology Immersed finite elements with applications to charging in space

Fall, 2014, Institute for Mathematics and its Applications

Taylor-Hood and Apple Pi

Shawn Walker Louisiana State University Controlling the footprint of droplets
Abner Salgado University of Tennessee Approximation of elliptic equations in the BMO coefficients
Binghe Chen Purdue University First order least squares method and the adaptive algorithm for convection dominated diffusion problems
Hengguang Li Wayne State University W_p^1 stability on graded meshes
Ralf Hiptmair ETH,Zurich Discrete shape gradients
Sara Pollock Texas A & M University Goal oriented adaptive finite element methods for quasilinear pde
Ke Shi Texas A & M University An HDG method for linear elasticity with strong symmetry
Andrew Gillette University of Arizona H(curl) and H(div) elements on polytopes from generalized barycentric coordinates
Shangyou Zhang University of Delaware Optimal symmetric mixed elasticity elements
Junping Wang NSF Weak Galerkin FEMS: basic principles
Yanlai Chen University of Massachusetts Dartmouth A certified fast algorithm for computing lower bounds of inf-sup constants
Xu Zhang Purdue University Localized H(div) recovery a posteriori error estimators for elliptic equations
Manuel Sanchez Uribe Brown University Higher order FEM for a class of interface problems
Dmitriy Leykekhman University of Connecticut Some weighted estimates with application to pointwise estimates on convex polyhedral domains
Zhimin Zhang Wayne State University Superconvergence of the DG method for linear hyperbolic equations in 1D
Malgorzata Peszynska Oregon State University FE for phase transitions without regularization
Paul Kuberry Sandia National Laboratories Optimization based approach to decouple fluid structure interaction
Amanda Diegel University of Tennessee Analysis of FEMs for Cahn-Hilliard flow models
Youngjoon Hong Indiana University Theoretical and nmerical analysis of singularly perturbed equations
Guanglian Li Texas A & M University A multiscale adaptive algorithm for high contrast flow problems
Yang Yang Michigan Technological University Superconvergence of the DG method for hyperbolic equations in two space dimensions
Joscha Gedicke Louisiana State University Adaptive C^0 interior penalty method for a biharmonic obstacle problem
Alan Demlow University of Kentucky A posteriori estimates in L_{infinity} and BMO
Michael Pruitt University of Connecticut Harnack inequality for piecewse linear discrete harmonic functions
Guosheng Fu University of Minnesota, Twin Cities Speed-up of the mixed FEM in reservoir simulation
Martin Licht University of Oslo Discrete distributional deRham complexes
Jie Shen Purdue University Generalized Jacobi functions and application to fractional differential equations
Harbir Antil George Mason University Optimal control for fractional elliptic pdes
Werner Bauer Universität Hamburg A new covariant form of the equations of geophyical fluid dynamics and their structure preserving discretization
Joachim Schöberl Technische Universität Wien C++ 11 implementation of finite elements
P. Robert Kotiuga Boston University Whitney form discretization of helicity functionals and discrete diffeomorphism invariance
Enrique Otarola University of Maryland Convergence rates for the elliptic fractional obstacle problem
Long Chen University of California, Irvine Multigrid methods for mixed finite element methods
Ignacio Tomas University of Maryland A simple pde model for two-phase ferrofluids
Kai Yang The Pennsylvania State University Well-posedness and robust preconditioners for discretized fluid structure interaction systems
Qiang Du The Pennsylvania State University Asymptotically compatible discretization of nonlocal models and their local limits

Spring, 2014, Wayne State University

Joscha Gedicke Louisiana State University Hodge decomposition for two dimensional time Harmonic Maxwell's equations
Cody Lorton University of Tennessee, Knoxville Efficient numerical algorithm for acoustic scattering in random media
Tom Lewis The University of North Carolina at Greensboro Motivating a penalty-free DG method for elliptic problems
Sergiy Borodachov Towson University Pointwise optimal multivariate spline method for recovery of twice differentiable functions on a simplex
Michael Neilan University of Pittsburgh Finite element methods for elliptic problems in non-divergence form
Alan Demlow University of Kentucky HDG methods for the Laplace-Beltrami problem
Gerard Awanou University of Illinois at Chicago Standard finite elements for the numerical resolution of the elliptic Monge-Ampere equation
Bo Dong UMass Dartmouth Superconvergent HDG method and hybridized mixed methods for third-order equations in a unified framework
Runchang Lin Texas A&M International University DG LS FEM for semilinear reaction-diffusion problems
Sheng Zhang Wayne State University A DG method for the Koiter shell
Xu Zhang Purdue University Partially penalized immersed finite element method
Ke Shi Texas A&M University A multiscale HDG method for second order elliptic problems
Hailong Guo Wayne State University Hessian recovery for finite element methods
Fernando Camacho University of Kentucky L2 and pointwise a posteriori error estimates for FEM on surfaces
Zhimin Zhang Wayne State University How many numerical eigenvalues can we trust?
Jiguang Sun Michigan Technological University Note on the penalty of C0IPDG
Hengguang Li Wayne State University A super-closeness result in weighted space
Yi Zhang University of Tennessee Post-processing procedures for an elliptic distributed optimal control problem with pointwise state constraint
Yukun Li University of Tennessee DG methods for the Allen-Cahn equation and mean curvature flow
Corina Simian University of Chicago Intrinsic discretization for elliptic boundary value problems

Fall, 2013, University of Delaware

Harbir Antil George Mason University Convergence of reduced basis
He Yang Rensselaer Polytechnic Institute Stability analyis and error estimates of an exactly divergence-free method for the magnetic induction equations
Ricardo Nochetto University of Maryland A FEM for elliptic PDE with rough coefficients
Bo Dong UMass Dartmouth A generalized DG method for the stationary Schrodinger equation
Ragnar Winther University of Oslo The bubble transform
Jiguang Sun Michigan Tech A GPU-based recursive eigensolver
Ana Maria Soane Towson University Multigrid preconditioners for optimal control problems in fluid flow
Enrique Otarola University of Maryland A PDE approach to fractional diffusion
Shuo Zhang Institute of Computational Mathematics, Chinese Academy of Sciences Stable Stokes finite element pair on quadrilateral grids
Abner Salgado University of Tennessee Polynomial interpolation in Muckenhoupt weighted spaces
Xiaozhe Hu Penn State University Adaptive Eulerian-Lagranian method for convection-diffusion problems
Matthias Gobbert UMBC FEM and FVM for parabolic PDEs with advection and point sources
Sergiy Borodachov Towson University Optimal mutivariate spline methods for recovery of twice differentiable functions
Maximilian Metti Penn State University Spacetime moving finite elements for convection-dominated problems
Constantin Bacuta University of Delaware A saddle point least-squares method
Hae-Soo Oh University of North Carolina at Charlotte Enriched IGA for elliptic problems containing singularities
Leo Rebholz Clemson Reduced sparsity grad-div stabilization
Matthew Reyna Rensselaer Polytechnic Institute On the bounds and time steps for the DG and central DG methods for linear hyperbolic problems
Fei Wang Penn State University DG methods for variational inequalities
Jie Shen Purdue University Fast direct structured spectral solver for problems with variable coefficients
Michael Neilan University of Pittsburgh The Scott-Vogelius element revisited
Wujun Zhang University of Maryland FEM for elliptic PDE in non-divergence form
Tong Sun Bowling Green State University Computing fully-developed shocks with DG and the Rankine-Hugoniot condition
Shuhao Cao Purdue University A posteriori error estimation for H(curl) interface problems
Manuel Sanchez-Uribe Brown University Max-norm stability of the lowest order Taylor-Hood element in 3-D
Ignacio Tomas UMD-College Park The Rosensweig model for ferro-fluids
Joscha Gedicke Louisiana State University Adaptive C^0 interior penalty method for biharmonic eigenvalue problems
Paul Kuberry Clemson An optimization algorithm to decouple Navier-Stokes linear elastic FSI problems
Douglas Arnold University of Minnesota Approximation by finite elements on multilinearly mapped cubical meshes
Dong Zhou Temple University Mixed FEM for the pressure Poisson equation reformulation of the incompressible Navier-Stokes equations
Fengyan Li Rensselaer Polytechnic Institute High order asymptotic preserving methods for some kinetic transport models
Cody Lorton University of Tennessee Knoxville An IPDG method for the elastic Helmholtz equations with large wave number
Ren Zhao Wayne State University Polynomial preserving recovery on the boundary
Lizao Li University Of Minnesota Finite element exterior calculus with lower-order terms
Christopher Davis Louisiana State University A partition of unity method for an optimal control problem
Yanlai Chen UMass Dartmouth Reduced basis FEM in the collocation framework
Dmitriy Leykekhman UConn Best approximation properties of parabolic problems in the L^{\infinity}(\Omega:L^2[0,T]) norm

Spring, 2013, Circus/Rodeo Louisiana State University

Markus Buerg Texas A&M University A fully automatic hp-adaptive FEM for Maxwell's equations
Lawrence Bush University of Wyoming On the application of the continuous Galerkin FEM to multiscale multiphase flow problems
Christopher Davis Louisiana State University A partition of unity method with penalty for fourth order problems
Leszek Demkowicz University of Texas Global properties of DPG
Truman Ellis University of Texas Locally conservative DPG for convection-diffusion
Joerg Frohne Texas A&M University A solution method for elasto-plastic contact problems
Shiyuan Gu Argonne National Laboratory Numerical simulation of piezoelectric vibration energy harvester
Jeran-Luc Guermond Texas A&M University Viscous regularization of the Euler equations
Tom Hagstrom Southern Methodist University Dissipative elements for wave equations in second order form
Chang Young Jang Southern Methodist University Exact radiation BCs using Hermite methods applied to 2-D linear acoustics on overlapping composite grids
Kyungjoo Kim University of Texas Finite element modeling electomagnetic wave propogation
Sanghyun Lee Texas A&M University Numerical simulations of the Kaye effect
Jizhou Lee Rice University Time and space discretizations of miscible displacement equations under low regularity
Hengguang Li Wayne State University New multigrid methods for the Stokes and linear elasticity problems
Runchang Lin Texas A&M University A DG least-squares FEM for solving Fisher's equation
Murtazo Nazarov Texas A&M University Entropy stability and high order approximation of the compressible Euler equations
Monika Neda University of Nevada Filter based stabilization for Navier-Stokes equations
Michael Neilan University of Pittsburgh The Stokes complex and stable divergence free finite elements
Minah Oh James Madison University Finite element exterior calculus on axisymmetric domains
Duk-Soon Oh Louisiana State University A balancing domain decomposition method by constraintss for Raviart-Thomas vector fields
Maxim Olshanskii University of Houston Non-degenerate Eulerian FEM for PDEs posed on surfaces
Beatrice Riviere Rice University A poroelasticity model for intestnial edema
Nathan Roberts University of Texas The lid-driven cavity flow problem using a DPG methodology
Johannes Tausch Southern Methodist University BEM for parabolic moving boundary problems
Vladimir Tomov Texas A&M University Entropy viscosity method for Lagranian hydrodynamics
Shawn Walker Louisiana State University A new mixed formulation for a sharp interface model of Stokes flow and moving contact lines
Dongming Wei University of New Analytic and finite element solutions to the Hollomon Euler beams
Xin Yang Rice University Convergence analysis of a DG method for time-dependent Navier-Stokes and Darcy problem
Sonyoung Yi University of Texas El Paso A mixed finite element method for linear poroelasticity
Kidist Zeleke University of Houston Numerical simulations of SAW actuated enantiomer separation by the immersed boundary method

Fall, 2012, University of Pittsburgh

Alan Demlow University of Kentucky L-infinity a posteriori estimates for DG methods
Hyunju Kim University of North Carolina at Charlotte Enriched isogeometric analysis by NURBS
Lu Shu University of Delaware Cascadic multilevel algorithms for the Stokes system
Tom Lewis Univerity of Tennessee Nonstandard local discontinuous Galerkine methods for fully nonlinear second order PDEs
Wujun Zhang University of Maryland Convergence of adaptive HDG method
Dmitriy Leykekhman University of Connecticut A priori error estimates for parabolic optimal control problems with pointwise controls
Pu Song University of Pittsburgh Coupling surface and subsurface flow with curved interface
Chris Davis Louisiana State University A partition of unity method with penalty
Martina Bukac University of Pittsburgh Fluid structure interaction between an incompressible viscous fluid and multilayered ... arterial wall
Victor Nistor Penn State University Optimal rates of convergence for GFEM on polygons
Jiguang Sun Michigan Tech University C^0 IPDG method for biharmonic eigenvalue problems
Yi Zhang Louisiana State University A quadratic C^0 interior penalty method for an elliptic optimal control problem with state constaints
Xiu Ye University of Arizona at Little Rock Weak Galerkin methods for PDE
Paolo Zunino University of Pittsburgh XFEM for parabolic problems with moving interfaces
Li-yeng Sung Louisiana State University Independent mesh refinements
Harbir Antil George Mason University Optimal control of a free boundary problem
Francisco Sayas University of Delaware Double layer boundary conditions for HDG
Jaeun Ku Oklahoma State University Asymptotically exact a posteriori error estimates
Abner Salgado University of Maryland A TV diminishing interpolation operaotr and applications
Andrei Draganescu UMBC Multigrid solution of an optimal control problem constrained by the Stokes equations
Hengguang Li Wayne State University The FEM for the axisymmetric Stokes problem
Shawn Walker Louisiana State University Tetrahedralization of iso-surfaces with guaranteed quality by edge rearrangement
Lennard Kamenski TU Darmstadt How a non-convergent Hessian recovery works for mesh adaptation
Jintao Cui University of Arkansas at Little Rock HDG method for the Helmholtz equation
Jichun Li University of Nevada Las Vegas Mathematical modeling of cloaking
Xin Xiong University of Pittsburgh A connection between nonlinear filter stabilization and eddy viscosity
Marina Moraiti University of Pittsburgh Analysis of a second order unconditionally stable partitioned method for the evolutionary Stokes-Darcy problem
Shangyou Zhang University of Delaware A mass-conserving interpolation operation and an interpolated mortar condition
Noel Walkington CMU A C^1 tetrahedron without edge degrees of freedom
Cody Lorton University of Tennessee Two-level Schwarz methods for non-symmetric and indefinite problems
Aziz Takhirov University of Pittsburgh Flow in pebble bed geometries
Jizhou Li Rice University Space-time discontinuous Galerkin method for solving miscible displacement equations
Bill Layton University of Pittsburgh Nonlinear filter models and algorithms for turbulence

Spring, 2012, Rutgers University

Slimane Adjerid Virginia Tech A posteriori DG error analysis and superconvergence on tetrahedral meshes
Doug Arnold University of Minnesota Finite element differential forms on cubical meshes
Andrew Barker Louisiana State University A weakly over-penalized symmetric interior penalty method for the Stokes equations
Susanne Brenner Louisiana State University Multiplicative Schwarz methods
Jintao Cui University of Minnesota A non-conforming FEM for an acoustic fluid-structure interaction problem
Christopher Davis Louisiana State University A generalized FEM for the displacement obstacle problem for clamped Kirchoff plates
Alan Demlow University of Kentucky A posteriori error estimates for FEEC
Gunay Dogan Theiss Research, NIST Gradient flow of the general curvature-dependent surface energy
Johnny Guzman Brown University Generalized inf-sup
Xiaozhe Hu Penn State University Comparative convergence analysis of nonlinear AMLI-cycle multigrid
Jaewoo Jeong Miami University Mapping techniques for isogeometric analysis of elliptic boudary value problems containing singularities
Lennard Kamenski University of Kansas; TU Darmstadt Conditioning of finite element equations with adaptive meshes
Hyunju Kim University of North Carolina at Charlotte Exotic geometrical mappings for isogeometric analysis of fracture mechanics
Tom Lewis University of Tennessee Local DG methods for fully nonlinear second order elliptic PDEs
Dmitriy Leykekhman University of Connecticut Commutative properties of DG for optimal control problems
Hengguang Li Wayne State University The FEM for the 3D Schrodinger operator
Maojun Li Rensselaer Polytechnic Institute Central DG methods for the Green-Naghdi model
Michael Neilan University of Pittsburgh Conforming mixed methods for elasticity using rational bubble functions
Victor Nistor Penn State University Interface problems
Francisco-Javier Sayas University of Delaware IP + BEM
Dongwoo Sheen Seoul National University A quadrilateral Morley-type element for biharmonic problems
Manuel Solano University of Delaware HDG for curved domains
Jiguang Sun Delaware State University A mixed FEM for the quad-curl problem
Tong Sun Bowling Green State University Necessity of Numerical Smoothness
Shawn Walker Louisiana State University Error estimates for mixed FEM for Hele-Shaw flow
He Yang Rensselaer Polytechnic Institute Dispersion and Dissipation errors of two fully dsicrete DG methods
Kidist Zeleke University of Houston Numerical simulation of surface acoustic wave actuated cell sorting
Chensong Zhang Chinese Academy of Sciences A stable auxiliary space preconditioner for high-order FE discretizations
Shangyou Zhang University of Delaware A minimal mixed symmetric non-conforming element on n-rectangles
Zhimin Zhang Wayne State University Superconvergence: uncharted territory
Ludmil Zikatanov Penn State University FE approximations of asymptotically disappearing solutions of Maxwell's equations

Fall, 2011, University of Connecticut (Avery Point)

Above the Cut in Connecticut

Harbir Antil University of Maryland A primal-dual method to solve PDE constrained optimization problems
Constantin Bacuta University of Delaware Multilevel Gradient-Uzawa Algorithms
Uday Banerjee Syracuse University Stable Generalized FEM
Andrew Barker Louisiana State University A wekly over-penalized symmetric interior penalty method for the Stokes equation
Yanlai Chen Dartmouth University Convergence Analysis for Nonconforming HDG Methods
Jintao Cui IMA HDG methods for Vorticity-Velocity-Pressure formulation of Stokes equstion
Alan Demlow University of Kentucky An adaptive surface FEM based on volume meshes
Andrei Draganescu UMBC Multigrid solution of an optimal control problem constrained by a semilinear elliptic PDE
Johnny Guzman Brown University Non-conforming methods for the Brinkman problem and fourth order singularly perturbed problems
JaEun Ku Oklahoma State University Local a posteriori error estimators for the LS method
John Lee University of Minnesota Mixed Method of Elastodynamics with Weak Symmetry Elements
Xianping Li Univ. Central Arkansas Anisotropic mesh adaption and Discrete Maximum Principle for anisotropic diffusion problems
Michael Neilan University of Pittsburgh Conforming divergence-free Stokes element on general triangular meshes
Ricardo Nochetto University of Maryland Director Fields on Flexible Surfaces
Enrique Otarola University of Maryland A FEM for the Fractional Laplace Operator
Eun-Hee Park Louisiana State University BDDC Preconditioner for a Symmetric Interior Penalty Method
Abner Salgado University of Maryland A Diffuse Interface Model for Electrowetting
Francisco Sayas University of Delaware Tight Finite Elements for Stokes-Darcy Flow
Patrick Sodre University of Maryland Optimal Control of a Free Boundary Value Problem
Jiguang Sun Delaware State University A coupled BEM and FEM for the interior transmission problem
Tong Sun Bowling Green State University Numerical Smoothness and Error Analysis in WENO for Nonlinear Conservation Laws
Ignacio Tomas University of Maryland Semi-implicit time integration schemes for the Micropolar Navier-Stokes equation
Shawn Walker Louisiana State University Mixed FEM for Hele-Shaw Flow
Jae Woo Wong North Carolina Isogeometric Analysis and X-FEM for the Crack Singularities
Xiu Ye University of Arkansas Weak Galerkin method for elliptic problems
Shangyou Zhang University of Delaware Superconvergence of a divergence-free finite element on rectangular grids
Shun Zhang Brown University Efficient Greedy Algorithms for Reduced Basis Methods
Yi Zhang Louisiana State University Finite element method for the displacement obstacle problems of clamped plates

Fall 2010, IMA

Cirque du IMA

Gerard Awanou Northern Illinois University Conforming mixed elements for elasticity with no vertex degrees of freedom
Andrew Barker Louisiana State University Additive Schwarz preconditioners for the local discontinuous Galerkin method
Pavel Bochev Sandia National Laboratories TBD
Chris Davis University of North Carolina - Charlotte Reproducing polynomial boundary particle methods for boundary integral equations
Leszek Demkowicz University of Texas at Austin Analysis of the DPG method for a model problem
Alan Demlow University of Kentucky AFEMs are not generally simultaneously optimal for multiple norms
Qiang Du Penn State University trace lemma for finite element stiffness matrix
Don French University of Cincinnati A mesh free method
Ohannes Karakashian University of Tennessee Conservative DG methods for the KdV equation
JaEun Ku Oklahoma State University A posteriori error estimator for a LS finite element method
Raytcho Lazarov Texas A & M University Numeical upscaling of Brinkman equation/TD>
Young-Ju Lee Rutgers University On general Hood-Taylor FEM for axisymmetric Stokes equations
Jichun Li University of Nevada FEM for Maxwell's equations in metamaterials
Nilima Nigam Simon Fraser University High order elements on pyramids
Minah Oh James Madison University Commuting smoothed projectors in weighted spaces
Jeff Ovall University of Kentucky A framework for analyzing and constructing hierarchical-type error estimators
Sevtop Ozisik Rice University Convergence analysis of DG methods
Giancarlo Sangalli Università di Pavia Isogeometric Analysis of electromagnetic problems
Joachim Schöberl Technische Universität Wien HDG methods
Natasha Sharma University of Houston Adaptive IPDG methods for H(curl)-elliptic problems
Ari Stern University of California, San Diego Geometric Variational Crimes
Jiguang Sun Delaware State University A simple FEM for transmission eigenvalues
Tong Sun Bowling Green State University Numerical smoothness and error analysis for RKDG on nonlinear conservation laws
Danail Vassilev University of Pittsburgh Discontinuos Galerkin and mimetic finite difference methods for Stokes-Darcy flows
Wei Wang Florida International University A DG method for a class of second order elliptic equations with rough coefficients
Yanqui Wang Oklahoma State University Mixed finite elemnt method for thin film epitaxy
Liwei Xu Rensselaer Polytechnic Institute Error analysis for the DtN-FEM for the scattering problem in acoustics
Guangri Xue University of Texas at Austin Multipoint flux mixed finite element on general hexahedra
Jue Yan Iowa State University LDG method for Hamilton-Jacobi equations
Shangyou Zhang University of Delaware The lowest order differentiable finite element on rectangular grids
Zhimin Zhang Wayne State University Finite element gradient recovery techniques

Spring 2010, Brown University

Providential DG

Gerard Awanou Northern Illinois University Spline element method for Monge-Ampere equations
Andrew Barker Louisiana State University Additive Schwarz preconditioners for a weakly over-penalized symmetric interior penalty method
Alan Demlow University of Kentucky Convergence and optimality fo an adaptive FEM for contolling L_2 errors
Blanca Ayuso de Dios Centre de Recerca Matematica Preconditioning DG methods via FE space decomposition
Dmitriy Leykekhman University of Connecticut Weak versus strong treatment of boundary conditions in optimal control problems
Hengguang Li Syracuse University Some observations on the conditioning of a class of GFEMs
Runchang Lin Texas A&M International University Coupled reaction-diffusion equations
Luis Melara Shippensburg University A finite element implementation of TV-minimization problems for image denoising
Michael Neilan University of Tennessee C^0 penalty methods for the Monge-Ampere equation
Victor Nistor Penn State University An approach to transmission problems using GFEM
Jeff Ovall University of Kentucky A framework for error estimation and acceleration of convergence for elliptic eigenvalue problems
Marcus Sarkis WPI DG solvers for elliptic problems with discontinuous coefficients and geometrical nonconforming partitions
Al Schatz Cornell University Almost bounded L-infinity estimates on nonconvex polygonal domains
Jiguang Sun Delaware State University Iterative methods for transmission eigenvalues
Tong Sun Bowling Green State University Numerical smoothness and error analysis for RK-DG on u_t + f(u)_x =0
Shawn Walker New York University (Courant) Hybrid mesh generation for large deformations and topological changes
Yinhua Xia Brown University Local discontinuous Galerkin method for Cahn-Hilliard equation
Yulong Xing University of Tennessee/ORNL Positivity preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations
Xiangxiong Zhang Brown University High order maximum principle satisfying DG method for conservation laws
Zhimin Zhang Wayne State University Spectral and spectral collocation methods for Hamiltonian dynamical systems
Xinghui Zhong Brown University Numerical resolution of discontinuous Galerkin method for time-dependent wave equations

Fall 2009, University of Tennessee

Hot Elements

Alexander Alekseenko California State Univ. Northridge Application of DG methods to the solution of model kinetic equations
Cosmin Anitescu Syracuse University Approximation properties of the generalized finite element method
Constantin Bacuta University of Delaware A residual reduction algorithm for SPP
Qiang Chen University of Delaware Time domain electromagnetic scatting problem
Yanlai Chen Brown University Reduced order modeling for electomagnetic wasve propogation
Alan Demlow University of Kentucky Stability of the Ritz projection in L_2: a "medius" error analysis
Bo Dong Drexel University Optimal convergence of the original DG method on special meshes for variable transport velocity
Hengguang Li Syracuse University The effect of numerical integration on the finite element approximation of linear functionals
Peijun Li Purdue University Recent studies on direct and inverse problems for acoustic wave propogation
Teemu Luostari University of Kuopio, Finland Coupling of the plane wave basis and Bessel basis functions in the ultra-weak variational formulation
Michael Neilan Convergence rates of the vanishing moment method for Monge_Ampere equations
Jeff Ovall University of Kentucky A robust and flexiable a posteriori error estimate in R^3
Leo Rebholz Clemson University A velocitiy-vorticity-helicity formulation for the Navier-Stokes equations
Francisco J Sayas University of Minnesota Getting Darcy flows ready for coupling
Markus Schmuck MIT Boston Homogenization of the Neuist-Planck-Poisson system
Jiguang Sun Delaware State University A new family of high regularity finite elements
Tong Sun Bowling Green State University A smoothmess/shock indicator for RKDG methods
Haiying Wang Michigan Technological University A posteriori error analysis for a cut cell finite volume method
Shun Zhang Purdue University An a priori error estimation of DG method for elliptic equations with low regularity

Spring 2009, University of Delaware

Elementary Care in Delaware

Susanne Brenner Louisiana State Univ. An intrinsically paralllel finite element method
Fatih Celiker Wayne State University Analysis of SD methods on arbitrary grids
Yanlai Chen Brown University Reduced basis element method for electromagnetics
Alan Demlow University of Kentucky Pointwise a posteriori error estimates for parabolic problems
Xiaobing Feng Univ. of Tennessee Absolutely stable IP-DG methods for the Helmholtz equation with high frequencies
Matthias Gobbert UMBC Efficient simulations for a reaction-diffusion system with a fast reaction in the asymptotic limit
Jay Gopalakrishnan University of Florida An HDG method for velocity-vorticity formulations
Johnny Guzman Brown University A new elasticity element with weak symmetry
Anil Hirani Univ. of Illinois at Urbana-Champaign Stiffness and mass matrices for Whitney forms
Jason Howell Carnegie Mellon Univ. Dual mixed finite element methods for the steady Stokes problem using Arnold-Winther elements
Xuehai Huang Penn State Univ. A P_1-P_3-NZT FEM for solving general elastic multi-structure problems
JaEun Ku Oklahoma State Univ Error estimates for a least squares method
Young-Ju Lee Rutgers University Novel numerical techniques for complex fluids
Helen Li Univ. of Maryland Optimal approximation spaces for problems with rough coefficients
Hengguang Li Syracuse Univ. Finite element methods for the axisymmetric Laplace operator in polygonal domains
Jichun Li UCLA Numerical analysis of Maxwell's equations in metamaterials
Michael Neilan University of Tennessee Finite element methods for a bi-wave equation modeling alpha-wave superconductors
Hae-Soo Oh Univ. of North Carolina at Charlotte The generalized product partition of unity for meshless methods
Minah Oh Univ. of Florida Multigrid in a weighted sapce arising from axisymmetric electrodynamics
Francisco Sayas University of Minnesota BEM-FEM: a new theorem for an old method
Benjamin Stamm Brown University Bubble stabilized discontinuous Galerkin method
Jiquang Sun Delaware State Univ The partition of unity refinement addressing local behavior
Li-yeng Sung Louisiana State University Multigrid for symmetric DG methods on graded meshes
Elisabeth Ullmann Univ. of Maryland Stochastic Galerkin matirices
Shawn Walker New York University (Courant) Mixed FEM for Hele-Shaw with surface tension
Chensong Zhang Penn State University Multilevel methods for complex fluids
Shangyou Zhang University of Delaware A divergence free finite element for Navier-Stokes equations
Shou Zhang Penn State Univ. Nonconforming FEM for the Cahn-Hilliard equation
Zhimin Zhang Wayne State Univ. Supergeometric convergence of the spectral-collocation method in 1-d

Fall 2008, Rensselaer Polytechnic Institute

Ups and Downs at RPI

Alexander Alekseenko California State University Northridge Numerical properties of a RK DG scheme for the wave equation in - curl curl + grad div form
Constantin Bacuta University of Delaware Discretization without the discrete LBB condition
Aycil Cesmelioglu Rice University Analysis of time dependent Navier-Stokes flow and Darcy flow
Long Chen University of California at Irvine iFEM
Yanlai Chen Brown University Reduced basis method for Maxwell's equations
Alan Demlow University of Kentucky Convergence of an adaptive FEM for controlling local energy errors
Bo Dong Brown University A local DG method for time-dependent PDEs with higher order derivatives
Benjamin Ganis University of Pittsburgh Implementation of a morter method mixed FEM using a multiscale flow basis
Matthias Gobbert UMBC Equivalent smooth model for a reaction-diffusion system with a fast reaction
Jay Gopalakrishnan University of Florida Behavoir of multigrid applied to some complex coefficient PDEs
Johnny Guzman Brown University An HDG method for the biharmonic problem
Won-Tak Hong Univ. of North Carolina at Charlotte Meshless method with enriched basis functions for singularity problems
Dmitriy Leykekhman University of Connecticut Local error estimates for optimal control problems
Fengyan Li Rensselaer Polytechnic Institute A central DG method for Hamilton-Jacobi equations
Runchang Lin Texas A&M International University Convergence analysis for least-squares approximations of second order boundary value problems
Michael Neilan University of Tennessee A modified characteristic FEM for a fully nonlinear formulation of the semigeostrophic flow equations
Hae-Soo Oh Univ. of North Carolina at Charlotte Almost everywhere partition of unity to deal with essential boundary conditions in meshless methods
Tong Sun Bowling Green State University Numerical smoothing property of familiar schemes
Shuguang Tan University of Florida Multigrid for hybridized mixed method
Shawn Walker New York University (Courant) Shape optimization for peristaltic pumping
Haiying Wang Colorado State University A posteriori error analysis of finite volume methods for variable coefficient elliptic problems
Shangyou Zhang University of Delaware Q_{k+1,k} x Q_{k,k+1} divergence free elements
Shun Zhang Purdue University Recovery based a posteriori error estimator for interface problems: mixed and nonconforming methods
Min Zhou Rensselaer Polytechnic Institute Petascale adaptive computational fluid dynamics

Spring 2008, Louisiana State University

Fun and Games at LSU

Alexandre Caboussat University of Houston Augmented Lagranian approach for a non-smooth eigenvalue problem
Zhiqiang Cai Purdue University Recovery based a poseriori error estimator for interface problems
Victor Calo ICES, UT Austin Isogeometric analysis of the Cahn-Hilliard phase field model
Varis Carey Colorado State University A posteriori error estimates for nonlinear elliptic systems
Carsten Carstensen Humboldt Universitaet zu Berlin A posteriori error analysis for nonstandard finite element methods
Jakub Cerveny University of Texas at El Paso Adaptive multi-mesh hp-FEM for coupled problems
Prince Chidyagwai University of Pittsburgh Weak solutions and multi-numeric solutions of the coupled Navier-Stokes and Darcy equations
Lenka Dubcova University of Texas at El Paso Adaptive hp_FEM for Maxwell's equations
Todd Dupont University of Chicago Symmetric and almost symmetric estimates for Galerkin approximation of the Navier-Stokes equations
Yalchin Efendiev Texas A&M University Multiscale methods using limited global information
John Evans University of Texas at Austin Numerical computation of approximation properties of p- and k- methods
Alexandra Gaevskaya University of Augsburg Functional type error majorants for optimal control problems
Jay Gopalakrishnan University of Florida Polynomial extensions in H(curl)
Pierre Gremaud North Carolina State University Numerical investigations of compressible flows
Jason Howell Carnegie Mellon University Approximation of the stress tensor of a nonlinear generalized Stokes problem
Ming-Chen Hsu University of Texas at Austin Improving stability of multiscale formulations of fluid flow at small time steps
Seungil Kim Texas A&M University The computation of resonances in open systems using a PML method
Young-Ju Lee Rutgers University Fast and robust multigrid methods for Stokes-like equations
Hengguang Li Penn State University The finite element method for a Schrodinger type equation
Jichun Li University of Nevada Las Vegas Mathematical and numerical study of Maxwell's equations in complex media
Runchang Lin Texas A&M Int'l University Discontinuous discretization for least-squares fomulation of singularly perturbed reaction-diffusion problems with non-smooth data
Scott Lipton University of Texas at Austin T-splines and isogeometric analysis
Jiangguo "James" Liu Colorado State University A second order FVM on quadrilateral meshes for elliptic and parabolic problems
Anders Logg Simula Research Laboratory Just-in-time compilation of finite element variational forms
Michael Neilan University of Tennessee Finite element approximations of the inverse mean curvature flow arising in general relativity
Victor Nistor Penn State University Low regularity Dirichlet boundary data and the GFEM
Joe Pasciak Texas A&M University PML reformulation of the elastic wave scattering problem
M. Sebastian Pauletti University of Maryland Geometric consistent refinement of polyhedral surfaces
James Rath ICES, UT-Austin Non-convergence of a popular multiscale finite element method
Ridgway Scott University of Chicago Rheological flows
Ana Maria Soane UMBC Variational problems in weighted Sobolev spaces on non-smooth domains
Shawn Walker Courant Institute Modeling, analysis, and simulation of electro-wetting on dielectic (EWOD)
Haiying Wang Colorado State University A posteriori error analysis of cell-centered finite volume method for convection-diffusion-reaction problems
Dexuan Xie University of Wisconsin-Milwaukee Minimization protocol for solving nonlinear Poisson-Boltzmann mortar finite elemement equations
Xiu Ye University of Arkansas Divergence free H(div) finite elememnt method for the Navier-Stokes equations
Zhimin Zhang Wayne State University Enhancing eigenvalue approximation by gradient recovery techniques

Fall 2007, Cornell University

The Best Circus Talk Ever

Alex Alekseenko California State Northridge Discontinuous Galerkin method for the second order vector wave equation
Constantin Bacuta University of Delaware Schur complements
Susanne Brenner Louisiana State University Interior penalty methods with weak over-penalization
Varis Carey Colorado State University Averaging operators are good error indicators for problems with pollution
Prince Chidyagwai University of Pittsburgh A weak solution and a muli-numerics scheme for the coupled Navier-Stokes and Darcy equation
Durkbin Cho Penn State University Uniform preconditioning for GFEM discretizations
Alan Demlow University of Kentucky Higher order finite elements on surfaces
Yekaterina Epshteyn Carnegie Mellon University DG methods for the chemotaxis and haptotaxis models
Johnny Guzman University of Minnesota Optimal order error estimates for the original DG method
Jae-Woo Jeong Univ. of North Carolina at Charlotte Implementation of RPP shape functions in meshless particle methods
Young Ju Lee Rutgers University Convergence theories of subspace correction methods for singular systems of equations
Dmitriy Leykekhman University of Connecticut Holder Green;s function estimates and optimal error estimates in W_p
Hengguang Li Penn State University Neumann and tranmission problems: a priori estimates and the fem
Jing Li Kent State University On a balancing domain decomposition method for solving Helmholtz equations
Andrey Mirzoyan California State Northridge Runge-Kutta DG method for solving Boltzmann-BGK system
Peter Monk University of Delaware An error estimate for the UWVF
Michael Neilan University of Tennessee Finite element approximation of the fully nonlinear Monge-Ampere equation
Victor Nistor Penn State Univ FEM for a modified Schrodinger operator
Hae-Soo Oh University of North Carolina at Charlotte Uniform RPPM, Patchwise RPPM, and adaptive RPPM
Beatrice Riviere University of Pittsburgh A numerical method for solving the nonlinear and non-Fickian diffusion problem in polymers
Jiguang Sun Delaware State Univ. DG for complex Helmholtz eigen-oscillation
Tong Sun Bowling Green State University Consistency + numerical smoothing implies error estimates: an alternative of the Lax-Richtmyer theorem
Li-yeng Sung Louisiana State University Nonconforming finite elements for H(curl) \cap H(div)
Danail Vassilev University of Pittsburgh Multiphysics coupling of Stokes-Darcy flows with solute transport
Jumping Wang DMS/NSF Interface conditions for coupled surfaces and subsurface fluids
Yanqiu Wang Oklahoma State University Pseudostress-velocity formulation for the Navier-Stokes equations
Jinchao Xu Penn State Univ. A universal construction of conconforming elements for H^m in R^n for any 0 <= m <=n
Guangri Xue Penn State Univ. Robust finite element methods for Darcy-Stokes interface problems
Shangyou Zhang University of Delaware C^1 finite elements on triangles, tetrahedra, rectangles, and boxes
Sheng Zhang Wayne State University Sharp convergence rates in domain imbedding methods
Zhimin Zhang Wayne State University Wilson's element approximates eigenvalues from below
Yunrong Zhu Penn State Univ. Robust multilevel methods for problems with strongly discontinuous coefficients

Spring 2007, University of Maryland

A Split Personality

Mohammad Asadzadeh Cornell University/ Chalmers University Characteristic FEM for Fermi equations
Constantin Bacuta University of Delaware Schur complements on Hilbert spaces and saddle point problems
Andrea Bonito University of Maryland Convergence of an adaptive discontinuous FEM
Mingchao Cai The HongKong Univ. of Sci. and Tec. & PSU Preconditioning technique for Stokes/Darcy coupling problem
Zhiqiang Cai Purdue University A flux recovery-based a posteriori error estimator
Andrew Cameron Cornell University Negative norm estimates and asymptotic error expansions for the finite element method
Varis Carey Colorado State University Compensated domain decomposition methods for time dependent problems
Long Chen University of Maryland Multigrid analysis of discrete differential forms
Alan Demlow University of Kentucky Pointwise estimates for parabolic problems
Howard Elman University of Maryland Multigrid solution of the stochastic diffusion equation
Matthias Gobbert University of Maryland, Baltimore County Efficient cluster computing for a model of calcium flow in heart cells
Jay Gopalakrishnan University of Florida Can the CG method yield conservative fluxes?
Johnny Guzman University of Minnesota A superconvergent LDG hybridizable method
Bongsoo Jang Kent State University, Ashtabula Two-point boundary value problems by BADM
Dmitriy Leykekhman Rice University Discontinuous Galerkin method for advection-diffusion optimal control problems
Fengyan Li Rensselaer Polytechnic Institute Nonconforming finite element Maxwell eigensolvers
Helen Li University of Maryland N-width and L-spline in approximation theory
Hengguang Li Penn State University Graded meshes for elliptic boundary value problms on pathological domains
Jichun Li U of Nevada Las Vegas Finite element study of the PML model for time-dependent Maxwell's equations
Runchang Lin Texas A&M International University A discontinous least-squares FEM for reaction-diffusion problems
Jian-Guo Liu University of Maryland Vorticity generated pressure for Navier-Stokes equations
Andrei Maxim Cornell University Pointwise estimates for the plate bending problem
Ricardo Nochetto University of Maryland Optimal cardinality of a standard adaptive finite element method
Hae-Soo Oh University of North Carolina at Charlotte Reproducing singularity particle shape function for problems containing singularities
Miguel Pauletti University of Maryland FEM for a membrane with bending energy
Malgorzata Peszynska Department of Mathematics, Oregon State University Adaptive mortar mixed methods for flow in porous media
Catherine Powell University of Manchester, UK Preconditioning Darcy flow saddle point systems: Hdiv vs H1
Beatrice Riviere University of Pittsburgh A weak solution and a numerical solution of the coupled Navier-Stokes/ Darcy problem
Ana Maria Soane University of Maryland Baltimore County Navier-Stokes eqaution: a solution in weighted Sobolev spaces
Necibe Tuncer Auburn University A novel finite element discretization for domains with spherical geometry
Tobias von Petersdorff University of Maryland A-posteriori error estimates for parabolic variational inequalities with integral operator
Shawn Walker University of Maryland A hybrid variational-level set method for handling topological changes
Chensong Zhang University of Maryland Multilevel SSC for variational inequalities on adaptive grids
Shangyou Zhang University of Delaware Divergence free finite elements with singular and nearly singular vertices
Ludmil Zikatanov Penn State University Lower bounds for 2-level methods

Fall 2006, Penn State University

What Do You Mean I Only Have Two More Minutes?

Constantin Bacuta University of Delaware Notes on the partition of unity method
J. Manuel Casco'n Barbero University of Salamanca, Spain Convergence and optimality of a FEM for general second order linear elliptic PDE
Jaime H. Barrera Cornell University A spectral method for the porous media equation
Andrea Bonito University of Maryland Numerical simulation of viscoelastic flows
Graham Carey ICES, UT Austin Progress on adaptive parallel FE software Libmesh for nonlinear applications
Varis Carey Colorado State University A posteriori analysis and adaptive error control for operator decomposition methods
Long Chen University of Maryland Finite element methods for the non-linear Poisson-Boltzmann equation
Alan Demlow University of Kentucky Elliptic reconstruction for a posteriori estimation of pointwise errors
Gunay Dogan University of Pennsylvania Solving the Mumford-Shah problem
Yekaterina Epshteyn University of Pittsburgh hp discontinuous Galerkin FEM for two-phase incompressible flow in porous media
Richard Falk Rutgers University A Fortin operator for Taylor-Hood elements
Matthias K. Gobbert University of Maryland Baltimore County A non-negativity preserving Newton method for high-order implicit time-stepping
Johnny Guzman University of Minnesota RKDG method for the transport equation
Bongsoo Jang Kent State University, Ashtabula Numerical solutions for elliptic pdes with Dirichlet bc by the modified ADM
Jae Woo Jeong UNC Charlotte Construction of 2D flat-top PU functions for meshless methods
Daniel Koester University of Augsburg, Germany Numerical simulation of acoustic streaming on SAW driven biochips
JaEun Ku Purdue University Weak coupling of solutions of least-squares FEM
Alexandr Labovschii University of Pittsburgh Defect correction method for the time-dependent Navier-Stokes equations
Bill Layton University of Pittsburgh How to solve the Navier-Stokes equations when Crank-Nicholson-Galerkin FEM fails
Hengguang Li Penn State University The finite element method for a class of degenerate pdes
Jing Li Kent State University On subdomain inexact solvers for BDDC algorithms
Peter Monk University of Delaware The inf-sup condition for acoustic scattering
Gerard Richter Rutgers University On the order of convergence of the discontinuous Galerkin method for hyperbolic equations
Suzanne Shontz Penn State University A robust solution procedure for hyberbolic solids with large boundary deformation
Iuliana Stanculescu University of Pittsburgh FEM test of optimized approximate deconvolution models of turbulence PDE
Pengtao Sun Penn State University Adaptive finite element method on thin film flow
Danail Vassilev University of Pittsburgh Coupling Stokes-Darcy flow with contaminated transport
Lars Wahlbin Cornell University On max-principles in parabolic FE equations
Xiaoping Xie Penn State University New low order nonconforming finite elements for elasticity
Jinchao Xu Penn State University Some recent results in finite element methods
Guangri Xue Penn State University Computational fuel cell dynamics
Ivan Yotov University of Pittsburgh Multiscale mortar mixed finite element methods
Chensong Zhang University of Maryland AFEM@matlab
Jian Zhang Penn State University Mixed FEM for phase field bending elasticity model of cell membranes
Shangyou Zhang University of Delaware Invertible Jacobian for trilinear mappings
Zhimin Zhang Wayne State University Can we have superconvergent recovery under adaptive meshes?

Spring 2006, University of Maryland, Baltimore County

The Place To Be

Gerard Awanou Northern Illinois University Rectangular mixed finite elements for elasticity
Constantin Bacuta University of Delaware Notes on 3-d affine refinement
J. Manuel Casco'n University of Salamanca, Spain Convergence of an adaptive FEM in H(div)
Alexandra L Chaillou College of Notre Dame of Maryland A posteriori estimation of the modeling and finite element approximations for strongly monotone nonlinear operators
Yekaterina Epshteyn University of Pittsburgh Stable interior penalty methods for elliptic problems
Richard Falk Rutgers University The canonical structure of finite elements
Bongsoo Jang Kent State University at Ashtabula Exact solutions to parabolic equations by the homogeneous decomposition method
Jae Woo Jeong University of North Carolina at Charlotte The piecewise polynomial RKP shape functions
Jichun Li University of Nevada Las Vegas Time-domain finite element analysis for Maxwell's equations in dispersive media
Biyue (Betty) Liu Monmouth University Computer simulation of blood flow in atherosclerotic curved artery
Jie Liu University of Maryland, College Park Steady-state Stokes solvers
Carolina Cardoso Manica University of Pittsburgh A stable discretization of high accuracy turbulence models on a bounded domain
Peter Monk University of Delaware The PML for rough surface scattering
Victor Nistor Pennsylvania State University On some meshes in three dimensions
Hae-Soo Oh University of North Carolina at Charlotte The piecewise polynomial RKP shape functions associated with patch-wise non-uniformly spaced particles
Leo Rebholz University of Pittsburgh An energy and helicity conserving finite element scheme for the Navier-Stokes equations
Beatrice M. Riviere University of Pittsburgh Finite element methods for an inverse problem
Christoph Schwab ETH Zurich Sparse tensor product FEM for elliptic problems with multiple scales
Aaron Solo Cornell University Estimates for low regularity boundary data
Tobias von Petersdorff University of Maryland, College Park A posteriori estimates for option pricing under Levy processes
Lars B. Wahlbin Cornell University Parabolic FE equations on nonconvex polygonal domains
Shawn Walker University of Maryland Simulating electro-wetting with contact line pinning
Christos Xenophontos Loyola College A singular function boundary integral method for elliptic problems with boundary singularities
Chensong Zhang University of Maryland, College Park Adaptive mesh refinement for variational inequalities of parabolic type

Fall 2005, Rutgers University

Elegance, Fun, and Precision

Ricardo Nochetto University of Maryland Time reconstructions and a posteriori error estimation
Christos Xenophontos Loyola College An hp finite element method for singularly perturbed systems of reaction diffusion equations
Beatrice Riviere University of Pittsburgh On the choice of numerical fluxes for discontinuous Galerkin methods for coupled hyperbolic-parabolic flows
Jiguang Sun Delaware State University PUFEM Implementation for Poisson
Jinchao Xu Penn State University Convergence theory for iterative method for singular and nearly singular systems
Xuejun Xu The mortar element methods with preconditioning
Constantin Bacuta University of Delaware Regularity estimates for the biharmonic problem
Jae Ryong Kweon Pohang University (South Korea) The evolution compressible Navier-Stokes equations on a polygon
Jian-Guo Liu University of Maryland Finite element Navier-Stokes solvers without inf-sup conditions
Dmitriy Leykekhman Rice University Uniform error estimates in fem for reaction-diffusion problems
Victor Nistor Penn State University A treatment of Dirichlet boundary conditions in the generalized finite element method
Jie Liu University of Maryland Error estimates for Navier-Stokes solvers without inf-sup conditions
Zhmin Zhang Wayne State University Enhanicng eigenvalue approximation by recovery techniques
Chensong Zhang University of Maryland A posteriori error estimation for parabolic variational inequalities with applications in finance
Matthias Gobbert UMBC Towards a non-negativity preserving methods for systems of reaction-diffusion equations
Graham Carey University of Texas Mesh quality metric and mesh improvements
Hae-Soo Oh Univ of NC at Charlotte Closed form reproducing kernel particle shape functions (basic constructions)
John Osborn University of Maryland Quadrature for meshless methods
Gunay Dogan University of Maryland Shape optimization for image segmentation
Kenig Wang University of South Carolina Two-level additive Schwarz preconditioners for C^0 interior penalty methods
Bongsoo Jang Kent State University Effective coefficients in periodic composite materials
Ludmil Zikatanov Penn State University AMG-optimal interpolation and compatible relaxation
Fengyan Li University of South Carolina A fast sweeping method based on discontinuous Galerkin methods for eikonal equations
Shagi-Di Shih University of Wyoming Equivalence of n-point Gauss-Chebyshev rule and 4n-point midpoint rule in computing the period of a Lotka-Volterra system

Spring 2005, University of Delaware

Iterations

Fengyan Li University of South Carolina A nonconforming finite element method for reduced time-harmonic equations
Constantin Bacuta University of Delaware Inexact Uzawa algorithms: a multilevel approach
Yekaterina Epshteyn University of Pittsburgh Fully implicit scheme for two-phase flow
Durkbin Cho Penn State University On multigrid methods for generalized finite element methods on unstructured mesh
Farnak Pahlevani Montana State University Senstivity computations of subgrid eddy viscosity models
Jian-Guo Liu University of Maryland Finite element Navier-Stokes solver without inf-sup conditions
Peter Monk University of Delaware Rough surface scattering
Hae-Soo Oh University of North Carolina at Charlotte Accuracy of homogenized solution in the presence of singularities
Jignang Sun University of Delaware An adaptive AMG for the micromagnetic model
Jie Lin University of Maryland Novel C^0 finite element methods for Navier-Stokes equations
Beatrice Riviere University of Pittsburgh Discontinuous finite elements for dynamic viscoelasticity
Zhimin Zhang Wayne State University Something about mesh
Shangyou Zhang University of Delaware Invertible jacobian for hexahedral elements
Khamron Mekchay University of Maryland A fem for Laplace-Beltrami operator: a posteriori estimate and convergence
Jay Gopalakrishnan University of Florida Incompressible finite elements
Rick Falk Rutgers University Mixed finite element methods for linear elasticity with weakly imposed symmetry
Al Schatz Cornell University Some a priori and a posteriori estimates

Fall 2004, Syracuse University

How the Hottub Was Invented

Nicolae Tarfulea Purdue University Calumet Boundary conditions for a constrained hyperbolic system
Songtao Liu Syracuse University C^1 Wavelets on triangulations for solving PDEs numerically
Fengyan Li University of South Carolina Locally divergence-free discontinuous Galerkin methods for Maxwell equations
Johnny Guzman Cornell University Quadrature in Schatz's pointwise estimates
Constantin Bacuto University of Delaware Convergence rates for Uzawa type algorithms
Shangyou Zhang University of Delaware Non-nested V-cycle convergence
Long Chen Penn State University Stability and accuracy of adapted finite element methods for convection-dominated problems
Jinchao Xu Penn State University Consistency, stability, convergence, and superconvergence
Jae-Hong Pyo Purdue University The Gauge-Uzawa Finite Element Method for the incompressible density Navier-Stokes equations
Ludmil Zikatanov Penn State University A note on exponential fitting scheme for convection-diffusion equations
Ivo Babuska University of Texas The p-version for stochastic PDEs
Jay Gopalakrishnan University of Florida Solving axisymmetric Laplace and Maxwell equations
Armando Duarte University of Illinois C^k generalized finite element approximation

Spring 2004, University of Pittsburgh

Circus at U. of Pittsburgh

Soeren Bartels University of Maryland, College Park Numerical Analysis of Time-Dependent Ginzburg-Landau Equations -- Can Vortices be Approximated Robustly?
Suzanne Brenner University of South Carolina Multigrid Algorithms for C^0 Interior Penalty Methods
Varis Carey Cornell University Some Extensions and Applications of Recovered Gradients
Long Chen Penn State University Sphere Covering and Optimal Triangulation
Durkbin Cho Penn State University On Some Results in the Convergence Analysis of Multigrid Method
Konstantinos Chrysafinos Carnegie Mellon University Moving Mesh Discontinuous Galerkin Methods
Alan Demlow University of Freiburg Localized a Posteriori Estimates for Pointwise Gradient Errors in Quasilinear Elliptic Problems
Adrian Dunca University of Pittsburgh The Numerical Analysis of a Class of Eddy Viscosity LES Models
Matthias Gobbert University of Maryland, Baltimore County Numerical Studies of a Reaction-Diffusion System with Fast Reaction
Traian Iliescu Virginia Tech Approximate Deconvolution Boundary Conditions for Large Eddy Simulation
Volker John University of Magdeburg On a New Type of Variational Multiscale Method for the Incompressible Navier-Stokes Equations
Ohannes Karakashian University of Tennessee Domain Decomposition methods for the Biharmonic Problem
Songul Kaya University of Pittsburgh Discontinuous Approximation of Subgrid Eddy Viscosity Models
Bruce Kellogg University of South Carolina Some Derivative Bounds for the Solution of a Singularly Perturbed Problem Near a Corner
Robert Kirby University of Chicago FIAT: Computing Finite Element Basis Functions Automatically
JaEun Ku Cornell University A First Order Least-Squares FEM
Carolina Manica University of Pittsburgh Convergence of Time Averaged Statistics of Finite Element Approximations of the Navier-Stokes Equations
Khamron Mekchay University of Maryland, College Park Convergence of AFEM for a General Second Order Elliptic PDE
Kyoung-Sook Moon University of Maryland, College Park Adaptive Monte Carlo Aalgorithm for Stochastic Differential Equations
Victor Nistor Penn State University Interior Estimates for the GFEM
Faranak Pahlevani University of Pittsburgh Sensitivity Analysis of Flows Using Finite Element Method
Gergina Pencheva University of Pittsburgh Interior Velocity Error Estimates for Mixed Finite Element Methods on Nonmatching Multblock Grids
Jennifer Proft University of Texas Coupled Hyperbolic-Parabolic Problems
Jae-Hong Pyo Purdue University Normal Mode Analysis for a Class of 2nd-Order Projection Type Methods for Unsteady Navier-Stokes Equations
Rolf Ryham Penn State University On the Convergence of Matching Based Multilevel Method
Edward Swim Texas Tech University A Nonconforming Finite Element Method for Fluid-Structure Interaction Problems
Kumar Vemaganti University of Cincinnati Goal-Oriented Error Estimates for Hierarchical Models of Thin Elastic Structures
Lilian Wang Purdue University Spectral Approximation of the Helmholtz Equation
Samuel Webster University of Maryland, Baltimore County Stability and Convergence of a Spectral Galerkin Method for the Linear Boltzmann Equation
Shen Wu Ford Motor Company Bathe-Dvorkin element for Transient Dynamics
Christos Xenophontos Loyola College The Use of Curved Elements in the FE Approximation of Plates by p and hp Methods
Son-Young Yi Purdue University Nonconforming Mixed Finite Element Method for Linear Elasticity Using Rectangular Elements
Ivan Yotov Univiversity of Pittsburgh Superconvergence in Control-Volume Mixed Finite Element Methods
Chensong Zhang University of Maryland, College Park A Posteriori Error Estimate for Parabolic Variational Inequalites
Zhimin Zhang Wayne State University Superconvergence of Galerkin Spectral Collocation p-Version Methods in 1-D

Fall 2003, Cornell University

A Hyperbolic Camping Trip

Rick Falk Rutgers University Degrees of Freedom for H(div) Finite Elements
Jay Gopalakrishnan University of Florida Quasioptimality of some spectral mixed methods
Peter Monk University of Delaware A Discontinuous Galerkin method for symmetric hyperbolic systems
Kevin Allen University of Maryland, Baltimore County Parallel Matrix-Free Solution for a Finite Element Discretized Elliptic Problem
Matthias Gobbert University of Maryland, Baltimore County Numerical Simulations of the Boltzmann Equations for Microelectronics Manufacturing
Faranak Pahlevani University of Pittsburgh Finite Element error analysis of the turbulent flow sensitivities
Nicolae Tarfulea University of Minnesota Well-Posed Constraint Preserving Boundary Conditions for Einstein's Equations
Uday Banerjee Syracuse University Selection of Shape Functions in Meshless Methods
Beatrice Riviere University of Pittsburgh Coupling DG and Mixed Finite Element methods for Stokes/Darcy Flow
Graham Carey University of Texas Residual strategies for adaptive meshing and adaptive modeling
Johnny Guzman Cornell University Pointwise estimates for three DG methods with lifting operators for elliptic operators
Sue Brenner University of South Carolina Discontinuous versions of some classical inequalities
Al Schatz Cornell University Pointwise estimates for perturbed blinear forms
Young-Ju Lee Penn State University Some new schemes for the rate-type non-Newtonian flow simulations
Long Chen Penn State University Optimal anisotropic meshes
Constantin Bacuta Penn State University Partition of Unity Method for the Stokes Problem
Ludmil Zikatanov Penn State University Stable partitions of unity
Victor Nistor Penn State University Sobolev spaces with weights and an optimal rate of convergence
Dmitriy Leykekhman Cornell University Some observations on fully discrete schemes for inhomogeneous parabolic PDEs
JaEun Ku Cornell University A Least Squares FEM
Rolf Ryham Penn State University Two level convergence and choice of optimal course subspace

Spring 2003, Wayne State University

Our Leader Returns       Welcome to the Club (or, The First Circus at Wayne State)

Sheng Zhang Wayne State University A method that works for both bending and membrane-shear dominated arches
Shen R. Wu Ford Motor Company A priori error estimates for explicit finite elements for elasto-dynamics
Zhiqiang Cai Purdue University Numerical methods for incompressible Newtonian fluid flow
Runchang Lin Wayne State University Natural superconvergent points in triangular elements
Ivo Babuska University of Texas How reliable is the mathematical model; mathematics of verification and validation in computational engineering (Or Can we believe in the numbers we compute for Engineering decisions: the problem of validation of the models used under uncertainties)
Lars Wahlbin Cornell University Finite element methods for a strongly damped wave equation: max norm analysis
Moon Gyu Park Purdue University Development and analysis of higher order finite volume methods for elliptic equations
Stefan Sauter University of Zurich Lattice Equations
Rick Falk Rutgers University Finite element approximation theory using families of reference elements
Tong Sun Bowling Green State University A posteriori stability/error analysis for subdomain semi-implicit shemes for parabolic equations
Ahmed Naga Wayne State University The polynomial preserving gradient recovery method
Hongsen Chen University of Wyoming Pointwise error estimates for finite element solutions of the Stokes equations

Fall 2002, Penn State University

If William Blake And Dr. Seuss Had Been At The Penn StateCircus...

Gergina Pencheva University of Pittsburgh Balancing domain-decomposition for mortar mixed finite element methods
Jung-Han Kimn Worcester Polytechnic Institute A convergence theory for discontinuous overlapping Schwarz method
Constantine Bacuta Penn State Subspace interpolation and applications to elliptic BVP
Jim Bramble Texas A&M L2-based approximation schemes for div-curl systems
Bruce Kellogg University of South Carolina Derivative bounds for a simple singularly perturbed convection-diffusion problem
Noel Heitmann University of Pittsburgh Subgridscale eddy viscosity for convection-dominated diffusive transport
Eric Darrigrand University of Delaware Fast multipole methods and microlocal discretization for the integral equations of electromagnetism
Alexander Alekseenko University of Minnesota Hyperbolic formulations in linearized gravity
Beatrice Riviere University of Pittsburgh Superconvergence and H(div) methods projection for discontinuous Galerkin methods
Shangyou Zhang University of Delaware Nested refinement of quadrilateral and hexahedral elements, and affine approximation
Zhimin Zhang Wayne State Gradient recovery of ZZ discrete least-square fitting at rectangular symmetry points
Peter Monk University of Delaware The ultra-weak variational formulation for the elastic wave equation
Daniel Kessler University of Maryland A posteriori error estimates for the Allen-Cahn problem
Songul Kaya University of Pittsburgh Numerical analysis of a subgrid eddy viscosity method for higher Reynolds number flow problems
Atife Caglar University of Pittsburgh A penalty method for boundary conditions of Navier-Stokes equations
Faranak Pahlevani University of Pittsburgh Time-stepping for multiscale finite element discretization
Matthias Gobbert University of Maryland Baltimore County Parallel numerical solution of the linear Boltzmann equation on irregular three-dimensional domains
Jie Shen Purdue University A new dual-Petrov-Galerkin method for higher odd-order equations
Jun Zhao Institute of Mathematics and its Applicaitons Analysis of finite element approximation of time-dependent Maxwell's problem
Adrian Dunca University of Pittsburgh Approximating local averages of fluid velocities: the equilibrium Navier-Stokes equations
Al Schatz Cornell University L-infinity estimates for problems with discontinuous coefficients on nonconvex polygonal domains allowing highly refined grids
Jinchao Xu Penn State Asymptotically exact a posteriori error estimators for unstructured grids

Spring 2002, University of Maryland

A Pleasant Affair

Alan Demlow Cornell University Piecewise linear finite elements are not localized
Varis Carey Cornell University A posteriori error estimation via recovered gradients
Bo Li University of Maryland Lagrange interpolation and finite element superconvergence
Lars Wahlbin Cornell University Max norm resolvent estimates: extreme logarithm-chasing
Chisup Kim Duke University A uniform multilevel precondition for an anistropic mixed finite element problem
Tobias von Petersdorff University of Maryland Boundary elements for Maxwell equations on Lipschitz domains
Alexander Hanhart University of Maryland Baltimore County Numerical simulation of calcium concentration in human heart cells
Dmitriy Leykekhman Cornell University Pointwise localized anaysis for parabolic finite element equations
Kunibert Siebert Universität Freiburg Localized pointwise a posteriori error control for obstacle problems
Richard Falk Rutgers University Quadrilateral H(div) finite elements
John Osborn University of Maryland On principles for selection of shape functions for the generalized finite element method
Uday Banerjee Syracuse University On principles for selection of shape functions for the generalized finite element method, II
Ricardo Nochetto University of Maryland Surface evolution by surface diffusion
Peter Oswald Bell Labs Subdivision schemes
Ludmil Zikatanov Penn State University Subspace correction iterative methods for generalized finite element methods
Zhimin Zhang Wayne State University Meshless gradient recovery
Howard Elman University of Maryland Oscillations and their cure in discrete solutions to the convection-diffusion equation
Constantine Bacuta Penn State University Regularity estimates for Laplace operator via Besov spaces and applications
Daniel Kessler University of Maryland Modeling, numerical analysis, and simulations of a solutal phase-field model
Jae-Hong Pyo University of Maryland Convergence of the Uzawa algorithm for the stationary Stokes equation with relaxation parameter 1
Christos Xenophontos Loyola College Revisiting the Shishkin mesh
Matthias Gobbert University of Maryland, Baltimore County Parallel numerical solution of the Boltzmann equation for atomic layer deposition

Fall 2001, North Carolina State University

A Wolfpack Song

Peter Monk University of Delaware A simple proof of convergence for an edge element for Maxwell's equations
Douglas Arnold University of Minnesota DG methods for elliptic problems
Bruce Kellogg University of South Carolina Corner singularity for a compressible Stokes
Sheng Zhang University of Minnesota Justification of shell theories
Jason Mareno Ericsson, Inc. Productivity enhancements via the mechanical toolbar
Pierre Gremaud North Carolina State University Numerical simulation of powder consolidation
Jie Shen University of Central Florida Viscosity-corrections schemes for incompressible flows
Zhilin Li North Carolina State University New finite element methods for interface problems
Tong Sun Bowling Green University Long time estimate of semilinar parabolic equations

Spring 2001, University of Delaware

Ode to Gore Hall

Joe Jerome Northwestern University Ion transport in moving electrolytes
Alan Demlow Cornell University Sharp localized L-infinity estimates for mixed methods
Matthias Gobbert University of Maryland Baltimore County A feature scale transport and reaction model for atomic layer deposition
Jae-Hong Pyo University of Maryland A finite element gauge-Uzawa method for the evolution Navier-Stokes equations
Joachim Schöberl Texas A&M Multigrid methods for anisotropic edge refinement
Ricardo Nochetto University of Maryland Pointwise a posteriori error control for FE discretization of variational inequalities
Carsten Carstensen University of Kiel A posteriori error control-an advertisement for averaging techniques
Pierre Gremaud North Carolina State University Similarity solutions for hopper flows
Xiaohai Liao University of Maryland Local a posteriori error estimates and adaptive control of pollution effects, part II Stokes equations
Gerard Richter Rutgers University Stable finite element box methods for hyperbolic equations
Olof Widlund Courant Institute Recent results on dual-primal FETI methods
Peter Oswald Bell Labs 1-2 problems on constructing projections for linear finite elements
Pedro Morin University of Maryland An adaptive Uzawa FEM for Stokes: Convergence without the inf-sup
Tong Sun Bowling Green University Long-time error estimation for semilinear parabolic equations
Shangyou Zhang University of Delaware Multigrid method for affine-approximate finite elements
Al Schatz Cornell University L-infinity estimates for equations with discontinuous coefficients on polygonal domains with refined grids

Fall 2000, Rutgers University

Election 2000

Igor Shimansky University of Maryland An asymptotic expansion for the solution of a convection-diffusion problem
Bruce Kellogg University of Maryland Singularly-perturbed convection-diffusion on an incoming sector
Douglas N Arnold Penn State University Mixed finite elements for elasticity in the stress-displacement formulation
Jae-Hong Pyu University of Maryland Gauge method for the Navier-Stokes equations
Pierre Gremaud North Carolina State University Simulation of gravity flow of granular materials
Omar Lakkis University of Maryland A posteriori error estimates for the finite element solution of the mean curvature flow of graphs
Xiaohai Liao University of Maryland Local a posteriori error estimators
Graham Carey University of Texas Conservations properties of superconvergent flux recovery formulas
Alan Demlow Cornell University Suboptimal convergence of mixed methods using BDM elements
Zhimin Zhang Wayne State University Superconvergence points of the serendipity family for harmonic functions
Lars Wahlbin Cornell University Differences of errors in finite element methods
Gerry Richter Rutgers University On the stability of a family of finite element methods for hyperbolic problems
Traian Iliescu Argonne National Labs Large eddy simulation of turbulent flows
Ricardo Nochetto University of Maryland Small data oscillation implies the saturation assumption
Zhangxin Chen Southern Methodist University Mixed discontinuous finite element methods
Zhiqiang Cai Purdue University A finite element method for the Poisson equation with corner singularities
Marcus Sarkis Worcester Polytechnic Institute SRASH: A symmetrized restricted additive Schwarz method
Oren Livne Weizman Institute O(N log N) multilevel calculation of N eigenfunctions
Christos Xenophontos Clarkson University Solution of Laplacian problems over L-shaped domains with a singular boundary integral method
Leon Vardapetyan Lucent Technology Hp-vector finite element method for the full-wave analysis of waveguides at a given frequency

Spring 2000, University of Texas

Finite Elements Forever

Douglas N. Arnold Penn State University Approximation on quadrilateral meshes
Yuri Kuznetsov Texas A & M Iterative methods for problems with very rough coefficients
Leon Vardapetyan University of Texas Full-wave analysis of dielectric waveguides
Theofanis Strouboulis Texas A & M Guaranteed error bounds; generalized finite element method
Zhangxin Chen Southern Methodist University On the relationship of various discontinuous Galerkin methods for second-order problems
Dibyendu Datta Texas A & M Guaranteed upper and lower bounds for quantities of interest in FEM
Shangyou Zhang University of Delaware Neumann data recovery and two applications
Andrew Knyazev University of Colorado at Denver Modern iterative solvers for large sysmmetric generalized eigenvalue problems
Baoyan Li Southern Methodist University Reservoir thermal recovery simulation on parallel computers
Kevin Copp Texas A & M Generalized finite element method
Wan Zhong Dalian University of Technology Symplectic mechanics and applied mechanics
Johannes Tausch Southern Methodist University Wavelet methods for complicated domains
Alan Demlow Cornell University Global L2 estimates for BDM mixed methods
Jayadeep Gopalakrishnan Texas A & M Overlapping Schwarz preconditioner for undamped Maxwell equations
Revathi Narasimhan St. Peters College Optimal stress points for a mixed finite element formulation for incompressible elasticity
Sergei Nepomnyaschikh Russian Academy of Sciences Variable additive preconditioning procedures
Konstantin Lipnikov University of Houston An efficient iterative solver for a coupled 3D elasticity/diffusion problem
Lin Zhang Texas A & M eta%-superconvergence of finite element solutions and error estimates
Andrzej Bajer University of Texas Contact/impact problems, energy conservation, and planetary gear trains
Zhimin Zhang Wayne State University FInite element superconvergence for the Reissner-Mindlin plate equations
Tim Walsh University of Texas hp boundary element modeling of the human ear canal acoutstics
Olaf Steinbach University of Stuttgart Stability of the L2 projection in Sobolev spaces
Susanne Brenner University of South Carolina An additive convergence theory for the multigrid V-cycle algorithm
Padmanabhan Seshaiyer Texas A & M A subdomain inverse finite element characterization of hyperelastic membranes
Dmitri Dashevsky University of Houston Generation of locally refined, locally adapted meshes

Fall 1999, Cornell University

Next Thousand Years

Reva Narasimhan Saint Peter's College Maximum norm estimates for Stokes equations on translation invariant meshes
Pedro Morin Universidad del Litoral, Argentina Data oscillation and convergence of adaptive FEM for elliptic PDE
Jie Shen Penn State Stable and efficient spectral methods in unbounded domains using Laguerre functions
Lars Wahlbin Cornell A negative result on positive approximation
Peter Oswald Bell Labs On multilevel bases for div-free Stokes elements
Christos Xenophontos Clarkson University Optimal finite element meshes for singularly perturbed problems
Hongrong Qin Penn State Multigrid methods for harmonic maps
Graham Carey University of Texas Highly distorted elements
Matthias Gobbert UMBC A homogenization technique for the Boltzmann equation for chemical vapor equation
Min Chen Penn State Four dimensional dynamical systems
Douglas Arnold Penn State Approximation properties by quadrilateral finite elements
Alan Demlow Cornell University Weighted max norm estimates for mixed finite elements
Sonia Garcia Naval Academy Hopefully a new era for numerical analysis
Tong Sun Bowling Green University Mass conservation and long-time estimates
Abani Patra SUNY-Buffalo Error indicators for hypervelocity impact
Alfred Schatz Cornell University Asymptotic error expansions for second order elliptic problems

Spring 1999, Penn State University

Bringing Back the Good Old Days

Ivan Yotov University of Pittsburgh Domain decompositions for multiphase porous media flow on multiblock domains
Ludmil Zikatanov Penn State University Norms of projections in Hilbert space
Bruce Kellogg University of Maryland INFEM: a method for singularly perturbed convection-diffusion
Kunibert Siebert University of Freiburg Adaptive finite elements for phase transition problems with convection
Michael Holst University of California at San Diego Using local estimates to decouple adaptive finite element methods
Manil Suri University of Maryland Baltimore County Numerical analysis of buckling in thin plates
Daniele Boffi University of Pavia Discrete compactness for edge elements
Pedro Morin University of Maryland Do adaptive algorithms converge?
Anastasios Liakos University of Pittsburgh Imposition of boundary conditions for Stokes equations
Zhiping Li Peking University On the computation of microstructures
Alexandre Madureira Penn State Error analysis for hierarchical plate models using asymptotic analysis
Lars Wahlbin Cornell University On positive finite element approximation
Monique Dauge University of Rennes Maxwell equations and non-conves corners: the eventuality of a numerical catastrophe
Varis Carey Cornell University Locally constrained projections
Tim Barth NASA Ames A posteriori error estimation and adaptive methods for stabilized FEM approximations of hyperbolic problems
Jinchao Xu Penn State University Partition-of-unity finite element and multigrid methods
Ricardo Nochetto University of Maryland Error control for the continuous casting problem
Feng Wang University of California at Irvine Adaptive multigrid method for the Poisson-Boltzmann Equation
Peter Monk University of Delaware Finite element methods for ferromagnetic problems
Zhimin Zhang Texas Tech University Local recovery properties of SPR for rectangular finite elements
Jian Guo Liu University of Maryland Discontinuous Galerkin methods for 2-D incompressible flows

Fall 1998, University of Maryland

Ricardo Nochetto University of Maryland Positivity preserving finite element interpolation and applications
Graham Carey University of Texas Progress and open questions on least squares finite element methods
Peter Oswald Bell Labs A scheme for deriving discrete harmonic extension operators within the additive Schwarz method
Lars Wahlbin Cornell University Asymptotically exact a posteriori estimates for the pointwise gradient error on each element
Jian-Guo Liu University of Maryland A simple finite element method for incompressible flow
Matthias Gobbert UMBC A survey of finite elements for the computation of crystalline microsctructure
Sergey Asvadurov Schlumberger How to make a three point scheme exponentially convergent: applications to elasticity
Ludmil Zikatanov Penn State University A multigrid method using graph level sets
Dexuan Xie Courant Institute Symmetric PSOR as an efficient parallel preconditioner
Bruce Kellogg University of Maryland Best approximation (n-width) for the 1D Helmholtz equation
Daniele Boffi University of Pavia and Penn State University A penalty method for the Maxwell eigenproblem
David Sidilkover NASA Factorizable schemes for the equations of fluid flow
Jinchao Xu Penn State University Some local/parallel methods for elliptic problems
Tong Sun Texas A&M Object-oriented program for general mixed finite element methods
Jan Chleboun University of Texas On a problem with uncertain input data: quasilinear steady state heat flow
Al Schatz Cornell University Some improved pointwise estimates for differences
Christos Xenophontos Clarkson University Application of the p version of the FEM to applications of elastoplasticity with localization of deformation
Dan Stefanica Courant Institute Numerical Results for the FETI method with mortar finite element methods
Xuejun Zhang Texas A&M Least-squares finite element method for div-curl systems
Richard Falk Rutgers University New locking free finite elements for the Reissner-Mindlin plate
Hwanho Kim Penn State University Some multilevel methods for non-SPD and/or indefinite elliptic systems
Doug Arnold Penn State University Multigrid in H(div) and H(curl)
Bo Li UCLA Finite element modeling of microstructure near an interface between twinned layers and homogeneous states
Mohammed Aiffa Penn State University A new hierarchical basis for triangles and tetrahedra
Olof Widlund Courant Institute Iterative substructuring methods for vector field finite element discretizations
Marcus Sarkis Worcester Polytech Discretizations on overlapping non-matching grids

Spring 1998, University of Colorado at Denver

Rocky Mountain Circus High

Vladimir Druskin Schlumberger Doll 3-point scheme exponentially convergent
Jinn-Liang Liu National Chiao Tung University Unified a posteriori error estimation for FEM, FVM, and BEM
Ivo Babuska University of Texas at Austin New results in the p-version of the FEM
Tong Sun Texas A&M University Long-time error estimates
Rossen Parashkevov University of Colorado at Denver New error estimates for the flux in mixed methods
Biyue Liu University of Rhode Island Numerical solutions of compressible Navier-Stokes
Andrew Knyazev University of Colorado at Denver Error estimates when coefficients jump or go to infinity or zero
Shag-di Shih University of Wyoming Internal layers of singularly perturbed problems
Kyran D. Mish California State University at Chico & Sandia/Livermore A finite element solver interface specification for scalable linear algebra packages
Douglas N. Arnold Penn State University Tetrahedral bisection
Bruce Wade University of Wisconsin at Milwaukee The weighted continuous Galerkin method for evolution equations
Zhimin Zhang Texas Tech University Finite element superconvergent recovery for elements of the intermediate family of the second type
Zhiqiang Cai Purdue University First order least squares for linear elasticity
Jan Mandel University of Colorado at Denver Lagrange multiplier based domain decomposition for plate bending
Thomas F. Russell University of Colorado at Denver Accurate discretizations and efficient solvers for groundwater flow
Susanne Brenner University of South Carolina Lower bounds for two level additive Schwarz preconditioners with small overlap
Joe Pasciak Texas A&M University Computational scales of Sobolev norms with application to preconditioners and domain decomposition
Michael Holst University of California at Irvine MC: An adaptive multilevel finite element code for nonlinear forms on 2- and 3- manifolds
Feng Wang University of California at Irvine Multigrid precondition for the Chebyshev-collocation method
Hae-Sae Oh University of North Carolina at Charlotte The p-version of the finite element method for the Stokes problem over domains with corners

Fall 1997, Cornell University

The Fair Maiden of Ithaca      The Circus comes to Cornell

John Osborn University of Maryland Can a finite element perform arbitrarily badly?
Jinchao Xu Penn State University EAFE scheme for convection-diffusion equations and conservation laws
Don French University of Cincinnati pointwise a posteriori error estimates for the obstacle problem
Lars Wahlbin Cornell University Stability, analyticity, and almost best approximation in maximum norm for parabolic finite element equations
Barbara Wohlmuth Universität Augsburg Helmholtz type decomposition as a construction tool
Houde Han Tsinghua University A new finite element method for the Stokes equations and the MAC method
Zhimin Zhang Texas Tech University Finite element superconvergence of a singularly perturbed problem
Al Schatz Cornell University An examination of a local a posteriori error estimator for elliptic problems
Ricardo Nochetto University of Maryland Optimal a posteriori error estimates for variable time-step discretizations of evolution inequalities
Bill Hager University of Florida Euler discretization in optimal control
Peter Oswald Lucent Technologies Multilevel solvers for H-1/2 problems: piecewise constant approximation
Manil Suri University of Maryland Baltimore County hp finite element methods for non-Newtonian flows
Dan Stefanica Courant Institute Mortar finite elements for the FETI method
Ion Bica Schlumberger-Doll Research Iterative substructuring algorithms for p-version of the finite element method
Edriss Titi University of California at Irvine Post-processing Galerkin: A novel approach to intertial manifolds

Spring 1997, Courant Institute

That is a Heck of a Mesh Generator Your Have There

Dexuan Xie Courant Institute The parallel U-cycle method
Ivo Babuska University of Texas A posteriori error estimate for singularly perturbed problems
Ralf Hiptmair Universität Augsburg Multigrid methods for Maxwell's Equations
Ching L. Chang Cleveland State Piecewise linear approximations to the Stokes problem with velocity boundary conditions
Bruce Kellogg University of Maryland A forward-backward parabolic problem
Howard Elman University of Maryland Efficient solution of the three-dimensional Helmholtz equation
Al Schatz Cornell University Error estimates via Aubin-Nitsche duality with only H1 regularity
Lawrence Chilton University of Maryland Baltimore County Mixed hp elements for nonlinear elasticity
Frank Ihlenburg Universität Rostock Numerical analysis of exterior Helmholtz problems with finite and infinite elements
Padmanabhan Seshaiyer University of Maryland Baltimore County Uniform hp estimates over partitioned domains
Jonathan Goodman Courant Institute Anisotropic adaptive refinement for finite elements
Yin T. Shih University of Maryland Efficient streamline upwind schemes for convection-diffusion problems
Hae-Sae Oh University of North Carolina at Charlotte Weighted finite element method for elasticity on unbounded domains
Manil Suri University of Maryland Baltimore County On the spectrum of linearized buckling problems
Ragnar Winther University of Oslo On domain embedding preconditioners for the Dirichlet problem
Ion Bica Courant Institute Domain decomposition for the p-version of the finite element method
Dan Stefanica Courant University Poincare- and Friedrichs-type inequalities for the mortar FEM
Peter Monk University of Delaware Adaptive computations for far field patterns by a posteriori error estimation of linear functionals
Zhimin Zhang Texas Tech University Finite element and difference methods for some stochastic PDEs
Benji Guo University of Manitoba Direct and inverse theorems for the p-version finite element method using weighted Besov spaces
Vadim Korneev University of Maryland Baltimore County Curved Cn finite elements
Richard Falk Rutgers University Equilibrim shape of deformable elastic crystals

Fall 1996, University of Tennessee

Ivo's Lament

Susanne Brenner University of South Carolina Multigrid methods for stress intensity factors
Wang Feng Penn State A crosswind strip domain decomposition method for convection dominated problems
Ivo Babuska University of Texas Superconvergence in the elements at boundary
Pierre Gremaud North Carolina State University Numerical experiments about Hamilton-Jacobi and the viscosity criterion
Da-Qing Wang Carnegie Mellon A covolume scheme for elecromagnetic scattering in 3D
Xiaobing Feng University of Tennessee Transmission conditions and non-overlapping domain decomposition algorithms for the finite element method
Lawrence Cowsar Lucent Technologies Analysis of finite volume Scharfetter-Gummel method for steady convection diffusion equations
Douglas Arnold Penn State Derivation and justification of plate models
Zhimin Zhang Texas Tech University Natural superconvergence points for the gradient
Ohannes Karakashian University of Tennessee Discontinuous and continuous Galerkin methods for the nonlinear Schrodinger equation
Vadim Korneev University of Maryland Baltimore County On domain decomposition preconditioning in the hierarchical p-version of the finite element method
Charles Collins University of Tennessee Convergence of a reduced integration method for computing microstructures
Al Schatz Cornell University A study of some averaging methods as local a posteriori error estimators for elliptic problems
Steve Serbin University of Tennessee Some remarks on continuous diagonally-implicit Runge-Kutta methods
Olof Widlund Courant Institute Mortar finite elements and domain decomposition

Spring 1996, University of South Carolina

Poem

Ron DeVore University of South Carolina Numerical methods for recovering solun u to a PDE
Lars Wahlbin Cornell University Max-norm estimates for FEM in parabolic problems: out of the stone age
Jinshui Qin University of Tennessee Some iterative methods for solving saddlepoint problems
Peter Monk University of Delaware The perfectly matched layer
Ridgway Scott University of Houston High order methods for fluid flow
Douglas Arnold Penn State Performance of a preconditioner for the Reissner-Mindlin plate
Bo Li University of Minnesota Finite element analysis of microstructure for martensitic crystals
Vladimir Temlyakov University of South Carolina Universal cubature formulas
Konstantine Oskolkov University of South Carolina Regularity of the Schrodinger equation of a free particle
Hong Wang University of South Carolina An ELLAM scheme for advection diffusion equations
Soren Jensen University of Maryland Baltimore County Existence and uniqueness for a general forward/backward heat equation
Doug Meade University of South Carolina A non-overlapping domain decomposition method for the Helmholtz equation

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