On the treatment of corners in the boundary element method (Q809567)
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scientific article; zbMATH DE number 4213367
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the treatment of corners in the boundary element method |
scientific article; zbMATH DE number 4213367 |
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On the treatment of corners in the boundary element method (English)
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1990
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This paper proposes a new technique for treating the boundary element analysis of a region containing geometric discontinuities. The necessary additional equations are obtained by differentiating the usual boundary element integral equation. In order that the singular integrals are reduced to a computationally manageable form, some constraints are placed on the functional approximations at the discontinuities. An algorithm for incorporating these constraints is developed and numerical tests for an exactly solvable three-dimensional Laplace equation problem are presented.
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corners
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hypersingular integrals
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boundary element
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geometric discontinuities
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algorithm
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numerical tests
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Laplace equation
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