\(hp\)-adaptive two-level methods for boundary integral equations on curves (Q5956987)
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scientific article; zbMATH DE number 1713904
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(hp\)-adaptive two-level methods for boundary integral equations on curves |
scientific article; zbMATH DE number 1713904 |
Statements
\(hp\)-adaptive two-level methods for boundary integral equations on curves (English)
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9 October 2002
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The authors analyze the \(p\)- and \(hp\)-versions of the Galerkin boundary element method for hypersingular and weakly singular integral equations of the first kind on curves. The main results consist in some a posteriori error estimates as well as adaptive refinement strategies based on two-level space decompositions for the two versions. Some numerical tests for the Dirichlet boundary value problem for Laplace equation on an L-shaped domain are also carried out.
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hp-version of BEM
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a posteriori error estimates
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Schwarz methods
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two-level methods
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boundary integral equations
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hypersingular integral equation
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numerical examples
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Galerkin boundary element method
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weakly singular integral equations
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adaptive refinement
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Dirichlet boundary value problem
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Laplace equation
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L-shaped domain
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