Parallel solution of the wave equation using higher order finite elements

Abstract

We present a parallel solver for wave propagation problems based on the higher-order explicit finite elements developed by Cohen et al. (1995) These elements were introduce to allow mass-lumping while preserving high accuracy. Our approach is based on a coarse-grain, domain-splitting parallelism, and uses the new MPI (Message Passing Interface) standard as a message passing library. The program currently runs on a network of workstations, on a Cray T3D and on an IBM SP/2.