WIT Press


On The Iterative Solution Of Symmetric 3D BEM Problems

Price

Free (open access)

Paper DOI

10.2495/EBEM980031

Volume

20

Pages

10

Published

1998

Size

725 kb

Author(s)

M. Merkel & G. Kuhn

Abstract

On the iterative solution of symmetric 3D BEM problems M. Merkel & G. Kuhn Department of Applied Mechanics, University of Erlang en-Nuremberg, Egerlandstr. 5 91058 Erlangen, Germany EMail: merkel@ltm.uni-erlangen.de Abstract We are dealing with a standard direct boundary element method and herein with the collocation method. Our 3D BEM software package enables the stress analysis of three-dimensional bodies under generalized body forces like gravity, centrifugal force or arbitrary stationary thermal load. We have also implemented the BEM specific symmetry option, where symmetry planes do not have to be discretised. In this paper we focus our interest on the iterative solution of the linear system of equations arising for symmetric problems. We examine the convergence behaviour of the GMRES, the CGS and the BICGSTAB algorithm for problems which are loaded by above men- tioned phenomena. 1 Introduction A motivation for solving linear equations iteratively is the reduction in

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