Reconstruction of some potentials used in the boundary element method (Q1317849)
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scientific article; zbMATH DE number 536842
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reconstruction of some potentials used in the boundary element method |
scientific article; zbMATH DE number 536842 |
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Reconstruction of some potentials used in the boundary element method (English)
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28 February 1995
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The paper is concerned with techniques for evaluating (approximate) solutions of certain elliptic boundary value problems given in an integral representation, with a kernel associated with Green's function for some surrounding rectangle, and with densities obtained by a boundary element method. To avoid the usage of quadrature formulas, the author proposes to rewrite the problem as an appropriate boundary value problem and to use fast solvers for this. An error estimate of order \(h^ 2\) in the \(W^ 2_ 2\)-norm is proven.
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potential
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fourth-order problem
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Green's function
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boundary element method
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error estimate
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