Wavelet-based preconditioners for boundary integral equations (Q1284744)
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scientific article; zbMATH DE number 1279284
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Wavelet-based preconditioners for boundary integral equations |
scientific article; zbMATH DE number 1279284 |
Statements
Wavelet-based preconditioners for boundary integral equations (English)
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31 May 1999
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This paper designs wavelet-based preconditioners for iterative methods concerning the Galerkin schemes for the first kind integral equations of hypersingular and weakly singular kernels. The preconditioners are based on the decomposition of piecewise-linear (piecewise-constant, respectively) prewavelets. It is proved that, due to the orthogonality property, the condition number is bounded independently of the dimension of the linear space of prewavelets.
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boundary integral equations
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prewavelets
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preconditioned conjugate gradient method
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additive Schwarz method
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hierarchical basis
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Galerkin method
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hypersingular and weakly singular kernels
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condition number
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0.96024024
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0.9501716
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0.9264661
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0.92209226
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0.92100066
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