A comparison of parallel implementation of explicit DG and central difference method.

Massive parallel computers have become more attractive for advanced numerical simulations since standard libraries for communication and synchronization; for example MPI have facilitated program development. The present paper discusses two parallel explicit time integration methods for wave propagation problems; the central difference method and the explicit version of the P1–P1 discontinuous galerkin (DG) method. Based on the MIMD model, where data decomposition is accomplished by element-based grid partitioning, parallel versions of both algorithms have been implemented, using the same paradigm for inter-process communication. Numerical examples are illustrated and the achieved performance of the algorithms is discussed. Copyright © 2002 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]