Formulation of the MFS for the two-dimensional Laplace equation with an added constant and constraint

DOI10.1016/j.enganabound.2014.04.018zbMath1297.65194OpenAlexW2063788954MaRDI QIDQ463579

Jheng-Lin Yang, Yu-Lung Chang, Jeng-Tzong Chen, Ying-Te Lee

Publication date: 16 October 2014

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2014.04.018

zbMATH Keywords

method of fundamental solutionsdegenerate scaledegenerate kernelFichera's method

Mathematics Subject Classification ID

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

Related Items (13)

A meshless improved boundary distributed source method for two-phase flow monitoring using electrical resistance tomography ⋮ Recovery of the temperature and the heat flux by a novel meshless method from the measured noisy data ⋮ Generalized method of fundamental solutions (GMFS) for boundary value problems ⋮ Amended influence matrix method for removal of rigid motion in the interior BVP for plane elasticity ⋮ Singular boundary method: a review and computer implementation aspects ⋮ On the application of the method of fundamental solutions to boundary value problems with jump discontinuities ⋮ A self-regularized approach for rank-deficient systems in the BEM of 2D Laplace problems ⋮ An overview of the method of fundamental solutions -- solvability, uniqueness, convergence, and stability ⋮ Method of fundamental solutions for Neumann problems of the modified Helmholtz equation in disk domains ⋮ A Two-Constraint Method for Appropriate Determination of the Configuration of Source and Collocation Points in the Method of Fundamental Solutions for 2D Laplace Equation ⋮ Simpson's rule to approximate Hilbert integral and its application ⋮ A well-conditioned method of fundamental solutions for Laplace equation ⋮ Method of fundamental solutions for a Cauchy problem of the Laplace equation in a half-plane

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