Numerical analysis of a non-singular boundary integral method. I: The circular case (Q2744195)
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scientific article; zbMATH DE number 1648721
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical analysis of a non-singular boundary integral method. I: The circular case |
scientific article; zbMATH DE number 1648721 |
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19 September 2001
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boundary integral method
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Dirichlet problem
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potential layer
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Galerkin method
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stability
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convergence
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Laplace equation
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quadrature formula
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error estimates
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0.94459903
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0.90120316
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0.8946785
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0.89052856
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0.89020115
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0.8899803
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0.8899593
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Numerical analysis of a non-singular boundary integral method. I: The circular case (English)
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The authors give a numerical method for solving the internal and external Dirichlet problems for the Laplacian based on a special quadrature formula for the standard piecewise linear Galerkin approximation of a weakly singular potential layer. They prove stability and give error estimates on the unit disk.
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