A Nyström method for boundary integral equations in domains with corners (Q919765)
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scientific article; zbMATH DE number 4162199
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Nyström method for boundary integral equations in domains with corners |
scientific article; zbMATH DE number 4162199 |
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A Nyström method for boundary integral equations in domains with corners (English)
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1990
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The core of this work is a high order quadrature formula for integrals with endpoint singularities. The author obtains such a formula using the trapezoidal rule for the transformed integral. This quadrature rule is then applied in the Nyström method for a class of integral equations of the second kind with endpoint singularities. Finally, the method is applied to the boundary integral equations of the plane potential theory in domains with corners.
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Dirichlet problem
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Laplace equation
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boundary element method
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quadrature formula
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integrals with endpoint singularities
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Nyström method
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boundary integral equations
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domains with corners
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