Combinations of method of fundamental solutions for Laplace's equation with singularities

DOI10.1016/j.enganabound.2008.01.002zbMath1244.65222OpenAlexW1994760090MaRDI QIDQ443340

J. Herrera, H. S. Yoon

Publication date: 7 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2008.01.002

zbMATH Keywords

singularitiesmethod of fundamental solutionsTrefftz methodcombined methodscoupling techniques

Mathematics Subject Classification ID

Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (14)

Neumann problems of 2D Laplace's equation by method of fundamental solutions ⋮ Models of corner and crack singularity of linear elastostatics and their numerical solutions ⋮ Combined Trefftz methods of particular and fundamental solutions for corner and crack singularity of linear elastostatics ⋮ High accuracy eigensolution and its extrapolation for potential equations ⋮ Splitting extrapolation algorithms for solving the boundary integral equations of Steklov problems on polygons by mechanical quadrature methods ⋮ Mixed types of boundary conditions at corners of linear elastostatics and their numerical solutions ⋮ A method for electric field determination in the vicinity of infinitely thin electrode shells ⋮ Comparisons of fundamental solutions and particular solutions for Trefftz methods ⋮ The method of fundamental solutions and its combinations for exterior problems ⋮ The singular boundary method: mathematical background and application in orthotropic elastic problems ⋮ Analysis of the method of fundamental solutions for the modified Helmholtz equation ⋮ Corner and crack singularity of different boundary conditions for linear elastostatics and their numerical solutions ⋮ A comparison of boundary methods based on inverse variational formulation ⋮ The method of fundamental solutions for annular shaped domains

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• Trefftz, collocation, and other boundary methods—A comparison
• The Numerical Evaluation of Particular Solutions for Poisson's Equation
• Fundamental Solutions Method for Elliptic Boundary Value Problems

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