An efficient transformation with Gauss quadrature rule for weakly singular integrals

DOI10.1002/cnm.457zbMath0994.65024OpenAlexW1977346387MaRDI QIDQ2781033

Beong In Yun

Publication date: 14 October 2002

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.457

zbMATH Keywords

numerical examplesnonlinear transformationGauss-Legendre quadrature rulesigmoidal transformationweakly singular integral

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (3)

Nyström type methods for Fredholm integral equations with weak singularities ⋮ \(\mathrm{PVTSI}^{(m)}\): a novel approach to computation of Hadamard finite parts of nonperiodic singular integrals ⋮ A non-linear co-ordinate transformation for accurate numerical evaluation of weakly singular integrals

Cites Work

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• On non-linear transformations for the integration of weakly-singular and Cauchy Principal Value integrals
• The Cruciform Crack Problem and Sigmoidal Transformations
• Remarks on methods for the computation of boundary-element integrals by co-ordinate transformation
• Taylor expansions for singular kernels in the boundary element method
• A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
• Application of sigmoidal transformations to weakly singular and near-singular boundary element integrals
• Semi-sigmoidal transformations for evaluating weakly singular boundary element integrals
• Error estimation of quadrature rules for evaluating singular integrals in boundary element problems

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