Design of a new scheme to indicate the domain of applicability of near singular approach in 2D BEM

DOI10.1016/j.enganabound.2010.04.006zbMath1259.65177OpenAlexW2028746670MaRDI QIDQ1944444

Yanyan Li

Publication date: 25 March 2013

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2010.04.006

zbMATH Keywords

Laplace equationBEMnearly singular integralsGaussRomberg integrationhigher order elementsLegendre integration

Mathematics Subject Classification ID

Boundary element methods for boundary value problems involving PDEs (65N38)

Cites Work

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• Two-dimensional singular integral equations exact solutions
• Direct Gauss quadrature formulae for logarithmic singularities on isoparametric elements
• Gaussian quadratures for singular integrals in BEM with applications to the 2D modified Helmholtz equation
• A general algorithm for accurate computation of field variables and its derivatives near the boundary in BEM
• Analytic formulations for calculating nearly singular integrals in two-dimensional BEM
• Singular integrals and boundary elements
• A semi-analytical algorithm for the evaluation of the nearly singular integrals in three-dimensional boundary element methods

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