Quadrature methods with high accuracy and their extrapolation for solving boundary integral equations of plane biharmonic problems (Q2757110)
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scientific article; zbMATH DE number 1675869
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quadrature methods with high accuracy and their extrapolation for solving boundary integral equations of plane biharmonic problems |
scientific article; zbMATH DE number 1675869 |
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19 August 2002
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biharmonic equation
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boundary integral equation
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extrapolation
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error bound
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quadrature method
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biharmonic Dirichlet problem
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0.92430025
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0.9186443
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0.9003346
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0.8919517
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0.89123994
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Quadrature methods with high accuracy and their extrapolation for solving boundary integral equations of plane biharmonic problems (English)
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The authors present a quadrature method for solving a system of boundary integral equations of the biharmonic Dirichlet problem, which possesses accuracy \(O(h^3)\). Moreover, an asymptotic expansion with power \(h^3\) of the error is shown. The accuracy order of the approximation can be improved by Richardson extrapolation.
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