Massively parallel computation for acoustical scattering problems using boundary element methods

This paper is concerned with the parallel implementation of the boundary element method and its application to the exterior acoustical scattering problem. The numerical implementation is based on a Galerkin-type formulation of a Burton-Miller equation proposed in references [1, 2]. This scheme can avoid sensitive properties of hypersingular integration, simplify the numerical implementation, and improve the quality of the numerical solutions, especially in the range of high frequencies. An a posteriori error estimate proposed in reference [1] is implemented. In essence, a complete parallel implementation of the boundary element method, including the parallel formation of the linear system, a parallel dense solver, and a parallel algorithm for postprocessing (error estimation), are presented in this paper. (C) 1996 Academic Press Limited