Applications of the local boundary integral equation technique to potential problems (Q1801954)
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scientific article; zbMATH DE number 218707
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Applications of the local boundary integral equation technique to potential problems |
scientific article; zbMATH DE number 218707 |
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Applications of the local boundary integral equation technique to potential problems (English)
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17 August 1993
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Local boundary integral equation (LBIE) methods can be used if evaluation of the solution is required not over the whole boundary but only a small part of it. The paper briefly reviews the basic principles of two LBIE methods based on Taylor and Fourier series expansions for two-dimensional potential problems. To show the accuracy of both methods, a number of potential functions with polynomial, hyperbolic, and logarithmic variations are applied to square and annular domains, and numerical results for some test cases are given.
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boundary element method
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local boundary integral equation methods
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Taylor and Fourier series expansions
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two-dimensional potential problems
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numerical results
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