Efficient preconditioners for iterative solution of the boundary element equations for the three-dimensional Helmholtz problem

Chen, K. and Harris, P. (2001) Efficient preconditioners for iterative solution of the boundary element equations for the three-dimensional Helmholtz problem Applied Numerical Mathematics, 36 (4). pp. 475-489. ISSN 0168-9274

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Abstract

In this paper two types of local sparse preconditioners are generalized to solve three-dimensional Helmholtz problems iteratively. The iterative solvers considered are the conjugate gradient normal method (CGN) and the generalized minimal residual method (GMRES). Both types of preconditioners can ensure a better eigenvalue clustering for the normal equation matrix and thus a faster convergence of CGN. Clustering of the eigenvalues of the preconditioned matrix is also observed. We consider a general surface configuration approximated by piecewise quadratic elements defined over unstructured triangular partitions. We present some promising numerical results.

Item Type: Journal article
Subjects: G000 Computing and Mathematical Sciences > G100 Mathematics
DOI (a stable link to the resource): 10.1016/S0168-9274(00)00021-0
Faculties: Faculty of Science and Engineering > School of Computing, Engineering and Mathematics > Computational Mathematics
Depositing User: Helen Webb
Date Deposited: 08 Nov 2007
Last Modified: 03 May 2012 11:43
URI: http://eprints.brighton.ac.uk/id/eprint/3055

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