Sparse \(p\)-version BEM for first kind boundary integral equations with random loading (Q842933)
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scientific article; zbMATH DE number 5608053
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sparse \(p\)-version BEM for first kind boundary integral equations with random loading |
scientific article; zbMATH DE number 5608053 |
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Sparse \(p\)-version BEM for first kind boundary integral equations with random loading (English)
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28 September 2009
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The authors study the application of the boundary element method (BEM) to solve the integral equation \[ -\frac{1}{2\pi}\int_{\Gamma} \Phi(x,y)u(y)ds_{y}=g(x) \] in the space \(H^{1/2}(\Gamma)\), where the kernel \(\Phi(x,y)=\log\|x-y\|\). The determination of an approximate solution of this equation uses the notion of the tensor product of two Sobolev spaces.
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random data
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sparse grids
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\(p\)-version
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singular integral equation
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Galerkin method
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tensor product
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boundary element method
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Sobolev spaces
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