A polar coordinate integration scheme with a hierarchical correction procedure to improve numerical accuracy on the boundary element method

DOI10.1007/BF00369978zbMath0735.73085OpenAlexW2012732000MaRDI QIDQ1181579

M. Utamura, Munehito Koizumi

Publication date: 27 June 1992

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00369978

zbMATH Keywords

Taylor seriesresidual errorscorrection factor for numerical errorsfour triangular regionsGauss-Legendre numerical quadraturegeneral isoparametric elementsreciprocal of the distance typessingular kernel functionssingular kernel integration

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Numerical interpolation (65D05) Numerical quadrature and cubature formulas (65D32) Discrete potential theory (31C20) Singular integral equations (45E99)

Related Items (2)

Using the iterated sinh transformation to evaluate two dimensional nearly singular boundary element integrals ⋮ Efficient evaluation of integrals in three-dimensional boundary element method using linear shape functions over plane triangular elements

Cites Work

• An advanced boundary integral equation method for three-dimensional thermoelasticity
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