Integral evaluation in the BEM solution of (hyper)singular integral equations. 2D problems on polygonal domains (Q1362346)
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scientific article; zbMATH DE number 1043098
| Language | Label | Description | Also known as |
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| English | Integral evaluation in the BEM solution of (hyper)singular integral equations. 2D problems on polygonal domains |
scientific article; zbMATH DE number 1043098 |
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Integral evaluation in the BEM solution of (hyper)singular integral equations. 2D problems on polygonal domains (English)
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7 January 1998
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The paper addresses the problem of accurately computing typical boundary element Cauchy's and hypersingular (i.e. kernels of order \(r^{-1}\) or \(r^{-2}\)) one-dimensional integrals, in numerical fashion, defined over polygonal domains. The main goal is the application of the processes to adaptive \(p\) or \(h-p\), Galerkin or collocation, boundary element versions. A number of test problems illustrates the accuracy of the quadrature rules proposed to classical potential problems.
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Cauchy integrals
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boundary element method
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hypersingular integrals
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Galerkin method
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\(p\) version
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\(h-p\) version
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Laplace equation
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Poisson equation
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quadrature rules
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potential problems
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