An additive Schwarz method for the \(h\)-\(p\) version of the boundary element method for hypersingular integral equations in \(\mathbb{R}^3\) (Q2713127)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An additive Schwarz method for the \(h\)-\(p\) version of the boundary element method for hypersingular integral equations in \(\mathbb{R}^3\) |
scientific article |
Statements
21 January 2002
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\(h\)-\(p\) boundary element method
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hypersingular integral operator
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open surface
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preconditioner
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quasi-uniform meshes
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condition number
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numerical tests
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An additive Schwarz method for the \(h\)-\(p\) version of the boundary element method for hypersingular integral equations in \(\mathbb{R}^3\) (English)
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The authors study an additive Schwarz preconditioner for the \(h\)-\(p\) version of the Galerkin boundary element method for hypersingular integral equations on surfaces. The preconditioner is based on a three-level decomposition of the space of ansatz functions, consisting of piecewise polynomials of different degree on locally quasi-uniform meshes. The authors prove a logarithmic estimate for the condition number of the preconditioned linear system which is supported by numerical tests.
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