Polar coordinate transformation approach for treatment of singular integrals in boundary element methods

DOI10.1007/BF02014602zbMath0729.65008MaRDI QIDQ806937

Xinsen Lu, Yong Hui Liu

Publication date: 1988

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

singular integralsboundary element methodsNumerical examplespolar coordinate transformationquadrilateral boundary elementsremoving the singularity

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Boundary element methods for boundary value problems involving PDEs (65N38)

Cites Work

• Unnamed Item
• The potential integral for a linear distribution over a triangular domain
• Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
• Isoparametric, finite element, variational solution of integral equations for three-dimensional fields

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