MASSIVELY-PARALLEL COMPUTATION FOR ACOUSTICAL SCATTERING PROBLEMS USING BOUNDARY-ELEMENT METHODS

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