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

K. Chen, Paul Harris

Research output: Contribution to journalArticle

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.
Original languageEnglish
Pages (from-to)475-489
Number of pages15
JournalApplied Numerical Mathematics
Volume36
Issue number4
Publication statusPublished - Mar 2001

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