Massively Parallel Computation for Acoustical Scattering
Problems using Boundary Element Methods
- Po Geng
- Texas Institute for Computational and Applied Mathematics
- University of Texas
- Austin, TX 78712
- J. Tinsley Oden
- Texas Institute for Computational and Applied Mathematics
- University of Texas
- Austin, TX 78712
- Robert A. van de Geijn
- Texas Institute for Computational and Applied Mathematics
- University of Texas
- Austin, TX 78712
Abstract
This paper is concerned with the parallel implementation of the
boundary element method and its application to exterior acoustical
scattering problem.
The numerical implementation is based on a Galerkin-type formulation
of a Burton-Miller integral equation proposed in [].
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 []
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.
Po Geng, J. Tinsley Oden, Robert van de Geijn,
``Massively Parallel Computation for Acoustical Scattering
Problems using Boundary Element Methods,''
Journal of Sound and Vibration, to appear.
Texas Institute of Computational And Applied Mathematics,
TICAM Report 94-10, Aug. 1994.