Gaussian quadratures for singular integrals in BEM with applications to the 2D modified Helmholtz equation (Q1568462)

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scientific article; zbMATH DE number 1462738
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Gaussian quadratures for singular integrals in BEM with applications to the 2D modified Helmholtz equation
scientific article; zbMATH DE number 1462738

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    Gaussian quadratures for singular integrals in BEM with applications to the 2D modified Helmholtz equation (English)
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    6 December 2000
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    The calculation of singular integrals arising from the boundary element method (BEM) by Gaussian quadrature is discussed. The singularity studied is \(K_{0}(cx)\), where \(K_{0}(cx)\) is the fundamental solution of the modified Helmholtz equation. Comparison with other methods is done by numerical examples.
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    singular integrals
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    Gaussian quadrature
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    boundary element method
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    Helmholtz equation
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    numerical examples
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