On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation (Q1326478)
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scientific article; zbMATH DE number 569181
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation |
scientific article; zbMATH DE number 569181 |
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On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation (English)
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7 July 1994
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A quadrature method is described for the numerical solution of the logarithmic integral equation of the first kind arising from the single- layer approach to the Dirichlet problem for the two-dimensional Helmholtz equation in smooth domains. An error analysis is developed in a Sobolev space setting and fast convergence rates for smooth boundary data are proven.
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quadrature method
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logarithmic integral equation of the first kind
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Dirichlet problem
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Helmholtz equation
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error analysis
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Sobolev space
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convergence rates
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0.8914865
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0.8912849
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0.89080274
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0.89066154
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0.8891055
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