Title: Explicit Finite Element Methods
for Symmetric Hyperbolic Equations
Authors: Richard S. Falk and Gerard R. Richter
Source: SIAM Journal on Numerical Analysis, 36 (1999), pp. 935-952
Status: Published
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, error estimates of order O(h^(n+1/2))
are obtained for approximations by polynomials of degree less
than or equal to n.
Keywords: finite elements, symmetric hyperbolic, explicit
Subj. Class. 65M60, 65M15
URL: http://www.math.rutgers.edu/~falk/papers/efeshe.pdf