A New Sigmoidal Transformation for Weakly Singular Integrals in the Boundary Element Method

DOI10.1137/S1064827501396191zbMath1036.65031OpenAlexW1989629592WikidataQ122961908 ScholiaQ122961908MaRDI QIDQ4442109

Beong In Yun, Phil Su Kim

Publication date: 20 January 2004

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827501396191

zbMATH Keywords

comparison of methodsnumerical resultsGauss-Legendre quadrature rulesigmoidal transformationweakly singular integral

Mathematics Subject Classification ID

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

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Error analysis for a sinh transformation used in evaluating nearly singular boundary element integrals ⋮ Sigmoidal-Nyström for solving an aerofoil equation ⋮ Nyström type methods for Fredholm integral equations with weak singularities ⋮ Construction of Lanczos type filters for the Fourier series approximation ⋮ On the use of non-linear transformations for the evaluation of anisotropic rotationally symmetric directional integrals. Application to the stress analysis in fibred soft tissues ⋮ \(\mathrm{PVTSI}^{(m)}\): 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 ⋮ Sigmoidal cosine series on the interval

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