Analytical integration of elliptic 2D fundamental solution and its derivatives for straight-line elements with constant interpolation

DOI10.1016/S0955-7997(98)00099-XzbMath0940.65130OpenAlexW2015895886MaRDI QIDQ1961605

Z. Rek, Božidar Šarler

Publication date: 10 July 2000

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

Full work available at URL: https://doi.org/10.1016/s0955-7997(98)00099-x

zbMATH Keywords

numerical integrationboundary element methodfundamental solutionLaplace equationderivativesstraight-line elements

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical differentiation (65D25) Numerical integration (65D30) Boundary element methods for boundary value problems involving PDEs (65N38)

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Cites Work

• Dual reciprocity boundary element method for convective-diffusive solid-liquid phase change problems. I: Formulation. II: Numerical examples
• Primitive variable dual reciprocity boundary element method solution of incompressible Navier-Stokes equations
• A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
• Natural convection in porous media?dual reciprocity boundary element method solution of the Darcy model
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