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 a...

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Bibliographic Details
Published inJournal of sound and vibration Vol. 191; no. 1; pp. 145 - 165
Main Authors Geng, P., Oden, J.T., van de Geijn, R.A.
Format Journal Article
LanguageEnglish
Published London Elsevier Ltd 21.03.1996
Elsevier
Subjects
Acoustics
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Structural acoustics and vibration
Singularity
Parallel algorithm
Numerical integration
Error estimation
Parallel system
Acoustic wave
Wave scattering
Acoustic radiation
Galerkin method
Numerical method
Boundary element method
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Summary: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 posteriorierror 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.
ISSN:0022-460X
1095-8568
DOI:10.1006/jsvi.1996.0111