## Duk-Soon Oh

Triennial Assistant Professor of Mathematics & Mathematical Finance

Department of Mathematics - Hill Center

Rutgers, The State University of New Jersey

110 Frelinghuysen Rd.

Piscataway, NJ 08854-8019

#### Email

duksoon_at_(math)_dot_(rutgers)_dot_(edu)
#### Phone

(848)445-2314
#### Office

Room 513, Hill Center, Busch Campus

### Research Interests

- Numerical solution of partial differential equations
- Domain decomposition methods
- Multigrid methods
- Algorithms for parallel computing

### Papers

- A Smoother Based on Nonoverlapping Domain Decomposition Methods for H(div) Problems: A Numerical Study(with S. Brenner), To appear. in the Proceedings of the 24th International Conference on Domain Decomposition methods
- Multigrid Methods for H(div) in Three Dimensions with a Nonoverlapping Domain Decomposition Smoother(with S. Brenner), Numerical Linear Algebra with Applications, Vol. 25, Issue 5(2018)link
- Multigrid Methods for Saddle Point Problems: the Darcy System(with S. Brenner and L.-Y. Sung), Numerische Mathematik 138, 437-471(2018)link
- BDDC Algorithms with Deluxe Scaling and Adaptive Selection of Primal Constraints for Raviart-Thomas Vector Fiends(with O. Widlund, C. Dohrmann, and S. Zampini), Mathematics of Computation 87, 659-692(2018)link
- A BDDC Preconditioner for Problems Posed in H(div) with Deluxe Scaling, Proceedings of Domain Decomposition Methods in Science and Engineering XXII, 355-361, Lect. Notes in Comput. Sci. Eng., 104, Springer(2016), link
- An Alternative Coarse Space Method for Overlapping Schwarz Preconditioners for Raviart-Thomas Vector Fields, Proceedings of Domain Decomposition Methods in Science and Engineering XX, 361-367, Lect. Notes in Comput. Sci. Eng., 91, Springer(2013), link
- An Overlapping Schwarz Algorithm for Raviart-Thomas Vector Fields with Discontinuous Coefficients, SIAM J. Numer. Anal. 51, #1, 297-321(2013) link
- Domain Decomposition Methods for Raviart-Thomas Vector Fields, Ph.D. Thesis, link

### Teaching

- Spring 2017
- Numerical Analysis I, Math 373

- Fall 2016
- Calculus I for the Mathematical and Physical Sciences, Math 151
- Numerical Analysis I, Math 373

- Spring 2016
- Numerical Solution of Partial Differential Equations, Math 575

- Fall 2015
- Calculus I for the Mathematical and Physical Sciences, Math 151
- Numerical Analysis I, Math 373

- Spring 2015
- Elementary Differential Equations, Math 252
- Numerical Analysis II, Math 574

- Fall 2014
- Numerical Analysis I, Math 573