Multipole method for the Dirichlet problem on doubly connected domains of complex geometry: A general description of the method (Q1608272)
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scientific article; zbMATH DE number 1779330
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multipole method for the Dirichlet problem on doubly connected domains of complex geometry: A general description of the method |
scientific article; zbMATH DE number 1779330 |
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Multipole method for the Dirichlet problem on doubly connected domains of complex geometry: A general description of the method (English)
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25 January 2003
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The authors develop the basic principles of a new analytical-numerical method as applied to the Dirichlet problem for Laplace's equation on plane doubly connected domains with complex boundaries. The method is characterized by an exponential rate of convergence and guarantees a high-accuracy computation of the solution and its derivatives up to complex boundary segments as well as capacity, intensity coefficients in corners, etc.
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Dirichlet problem
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Laplace's equation
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doubly connected domain
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multipole method
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convergence
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