Title: Analysis of Finite Element Methods for
Linear Hyperbolic Problems
Author: Richard S. Falk
Source: in "Discontinuous Galerkin Methods: Theory, Computation, and
Applications" (B. Cockburn, G. Karniadakis, and C.W. Shu,
eds.), Lecture Notes in Computational Science and Engineering
11, Springer-Verlag, New York, 2000, pp. 103-112.
Status: Published
Abstract: We summarize several techniques of analysis for finite element
methods for linear hyperbolic problems, illustrating their key
properties on the simplest model problem. These include the
discontinuous Galerkin method, the continuous Galerkin methods
on rectangles and triangles, and a nonconforming linear finite
element on a special triangular mesh.
URL: http://www.math.rutgers.edu/~falk/papers/dgconf-l.pdf