The superconvergence of a Galerkin collocation method for first kind boundary integral equations on smooth curves (Q1923621)
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scientific article; zbMATH DE number 933151
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The superconvergence of a Galerkin collocation method for first kind boundary integral equations on smooth curves |
scientific article; zbMATH DE number 933151 |
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The superconvergence of a Galerkin collocation method for first kind boundary integral equations on smooth curves (English)
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21 November 1997
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The author adapts the collocation scheme to the Galerkin method with finite elements which provides high accuracy and fast convergence. This method is applied to systems of integral equations of the first kind with logarithmic principal part on the boundary curves \( \Gamma \). A classical asymptotical error analysis is given. The numerical results are in excellent agreement with this error analysis.
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system of integral equations
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collocation method
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Galerkin method
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finite element methods
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error estimates
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superconvergence
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boundary integral equations
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0.90860957
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0.90318745
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0.8926389
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0.89148283
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