Pseudo and anisotropic MFS for Laplace equation and optimal sources using maximal projection method with a substitution function

DOI10.1016/J.ENGANABOUND.2023.11.005MaRDI QIDQ6566866

Chung-Lun Kuo, Chein-Shan Liu

Publication date: 3 July 2024

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

zbMATH Keywords

3D Laplace equationmaximal projection methodmethod of anisotropic fundamental solutionsmethod of pseudo fundamental solutionssubstitution function method

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Cites Work

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• A dynamical Tikhonov regularization for solving ill-posed linear algebraic systems
• On the sources placement in the method of fundamental solutions for time-dependent heat conduction problems
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• An equilibrated method of fundamental solutions to choose the best source points for the Laplace equation
• An optimal tri-vector iterative algorithm for solving ill-posed linear inverse problems
• A survey of applications of the MFS to inverse problems
• Coupling BEM/TBEM and MFS for the simulation of transient conduction heat transfer
• Trefftz, collocation, and other boundary methods—A comparison
• Fast Solution for Solving the Modified Helmholtz Equation withthe Method of Fundamental Solutions
• Fast Solution of Three-Dimensional Modified Helmholtz Equations by the Method of Fundamental Solutions
• The method of functional equations for the approximate solution of certain boundary value problems

Related Items (1)

Maximizing the projection/minimizing the mass gap to choose optimal source points in the MFS for 2D and 3D Laplace equations

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