The MFS and MAFS for solving Laplace and biharmonic equations

DOI10.1016/j.enganabound.2017.02.011zbMath1403.65260OpenAlexW2611306313MaRDI QIDQ1655828

Xiangnan Pei, Fang-Fang Dou, Ching-Shyang Chen

Publication date: 10 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2017.02.011

zbMATH Keywords

method of fundamental solutionsnon-harmonic boundary conditionsmethod of approximate fundamental solutions

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (5)

Generalized method of fundamental solutions (GMFS) for boundary value problems ⋮ An overview of the method of fundamental solutions -- solvability, uniqueness, convergence, and stability ⋮ Modified nonlocal boundary value problem method for an ill-posed problem for the biharmonic equation ⋮ Solving biharmonic equation as an optimal control problem using localized radial basis functions collocation method ⋮ A new high-order nine-point stencil, based on integrated-RBF approximations, for the first biharmonic equation

Uses Software

• Regularization tools

Cites Work

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