An empirical error analysis of the boundary element method applied to Laplace's equation (Q1323716)
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scientific article; zbMATH DE number 580031
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An empirical error analysis of the boundary element method applied to Laplace's equation |
scientific article; zbMATH DE number 580031 |
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An empirical error analysis of the boundary element method applied to Laplace's equation (English)
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17 November 1994
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Based on the Ph.D. thesis of one of the authors, the paper provides numerically obtained convergence rates of piecewise constant and piecewise linear collocation methods for solving second kind integral equations with the double layer potential or its adjoint on the boundary of a circle and a square. The authors do not realize that a complete mathematical and numerical analysis of these simple problems has been known for a long time.
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boundary element method
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convergence
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collocation methods
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second kind integral equations
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double layer potential
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