WIT Press


Domain Decompostion Approaches To The Boundary Element Method

Price

Free (open access)

Paper DOI

10.2495/BE010381

Volume

28

Pages

10

Published

2001

Size

944 kb

Author(s)

A. J. Davies

Abstract

Domain decomposition approaches to the boundary element method A J Davies Mathematics Department, University of Hertfordshire, UK. Abstract The boundary element method comprises three distinct phases: set-up, equation solution and recovery of internal values. All three phases are suitable for domain decomposition, there being an inherent parallelism in the method which offers a straightforward data decomposition, ideally suited for an SPMD environment. Also, there are two approaches to the set-up phase viz collocation and Galerkin. Both approaches are considered and implementations on a PC cluster, transputer network and on an nCUBE sixty-four processor hypercube are described and compared. 1. Introduction The boundary element method has established itself as a numerical technique for the solution of problems in applied science and engineering, alongside the finite difference and finite element methods. However, it is probably still far less well- known probably due to it

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