Explicit Finite Element Methods for Symmetric Hyperbolic Equations

Authors:
Richard S. Falk;Gerard R. Richter
Affiliations:
-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
1999

Citing 0
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Abstract

A family of explicit space-time finite element methods for the initial boundary value problem for linear, symmetric hyperbolic systems of equations is described and analyzed. The method generalizes the discontinuous Galerkin method and, as is typical for this method, obtains error estimates of order $O(h^{n+1/2})$ for approximations by polynomials of degree $\le n$.