Title:         Explicit Finite Element Methods for
               Linear Hyperbolic Systems

Author:        Richard S. Falk and G. Richter


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. 209-220.


Status:        Published

Abstract:      Our focus is on explicit finite element discretization of
               transient, linear hyperbolic systems in arbitrarily many space
               dimensions.  We propose several ways of generating suitable
               ``explicit'' meshes, and sketch an $O(h^{n+1/2})$ error
               estimate for a discontinuous Galerkin method.  Continuous 
               methods are also considered briefly.  This paper parallels
               the paper "Explicit finite element methods for symmetric
               hyperbolic equations" in large part, while using a
               different approach in the analysis.

URL:           http://www.math.rutgers.edu/~falk/papers/dggr-l.pdf