A fast solver for a hypersingular boundary integral equation (Q1030680)
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scientific article; zbMATH DE number 5574510
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A fast solver for a hypersingular boundary integral equation |
scientific article; zbMATH DE number 5574510 |
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A fast solver for a hypersingular boundary integral equation (English)
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2 July 2009
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In this paper the author has developed a fully discrete method for a hypersingular boundary integral equation based on trigonometric polynomials. The Galerkin method for this equation leads to a discrete large linear system with dense coefficient matrix. A matrix truncation strategy is proposed to compress the dense coefficient matrix into a sparse matrix. An algorithm for the truncated linear system is developed. An optimal order of the approximate solution is preserved. Numerical examples complete the paper.
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hypersingular boundary integral equation
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matrix truncation strategy
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numerical integration method
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Galerkin method
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sparse matrix
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algorithm
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numerical examples
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