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