Two general algorithms for nearly singular integrals in two dimensional anisotropic boundary element method
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Publication:2512475
DOI10.1007/s00466-013-0965-1zbMath1398.74047OpenAlexW2080333366WikidataQ58011564 ScholiaQ58011564MaRDI QIDQ2512475
Bo Zhang, Yan Gu, Wen Chen, Wenzhen Qu
Publication date: 7 August 2014
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-013-0965-1
boundary element methodanalytical integrationanisotropic problemsnearly singular integralsnon-linear coordinate transformation
Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Boundary element methods applied to problems in solid mechanics (74S15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items (11)
Calculation of three-dimensional nearly singular boundary element integrals for steady-state heat conduction ⋮ A novel semi-analytical algorithm of nearly singular integrals on higher order elements in two dimensional BEM ⋮ An extended exponential transformation for evaluating nearly singular integrals in general anisotropic boundary element method ⋮ Regularized boundary integral methods for three-dimensional potential flows ⋮ On uniform convergence of approximations of the double layer potential near the boundary of a two-dimensional domain ⋮ A meshless singular boundary method for three‐dimensional elasticity problems ⋮ A general algorithm for evaluating nearly strong-singular (and beyond) integrals in three-dimensional boundary element analysis ⋮ Hybrid nearly singular integration for isogeometric boundary element analysis of coatings and other thin 2D structures ⋮ Thermal stress singularity analysis for V-notches by natural boundary element method ⋮ A general algorithm for evaluating nearly singular integrals in anisotropic three-dimensional boundary element analysis ⋮ Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method
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