An analysis of sparse approximate inverse preconditioners for boundary integral equations (Q2706306)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An analysis of sparse approximate inverse preconditioners for boundary integral equations |
scientific article |
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19 March 2001
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preconditioning
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operator splitting
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approximate inversion
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singular boundary elements
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least squares solution
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conjugate gradients
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conjugate gradient normal methods
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GMRES
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boundary integral equations
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numerical experiments
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An analysis of sparse approximate inverse preconditioners for boundary integral equations (English)
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The author analyzes three main types of sparse approximate inverse preconditioners suitable for dense linear systems arising from the numerical treatment of singular integral equations: the operator splitting preconditioner, the least squares approximate inverse preconditioner, and the diagonal block approximate inverse preconditioner. He shows how these methods cluster the eigenvalues of the normal matrix and carries out some numerical experiments.
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