WIT Press


Iterative Solvers For BEM Algebraic Systems Of Equations

Price

Free (open access)

Paper DOI

10.2495/BT930281

Volume

3

Pages

11

Published

1993

Size

859 kb

Author(s)

P.P. Valente & H.L.G. Pina

Abstract

Iterative techniques for the solution of the systems of algebric equations associated with the boundary element method are discussed in this paper. Due to the fact that the matrices associated with BEM are dense and sometimes ill conditioned, only direct methods like Gauss elimination, were used until recently to solve these systems. Here we present iterative techniques based on conjugate gradient solvers (CGS, Conjugate Gradient Squared and Bi-CG, Bi- Conjugate Gradients) that seem to have the potential to be competitive with direct methods. Introduction The conjugate gradient method (CG), first described by Hestenes and Stiefel (1952), has been widely u

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