Bipolar coordinates, image method and the method of fundamental solutions for Green's functions of Laplace problems containing circular boundaries

DOI10.1016/j.enganabound.2010.08.008zbMath1259.65191OpenAlexW2164088599MaRDI QIDQ1944409

Jia-Wei Lee, Jeng-Tzong Chen, Ying-Te Lee, Hung-Chih Shieh

Publication date: 25 March 2013

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2010.08.008

zbMATH Keywords

Green's functionfocusimage methodmethod of fundamental solutionsbipolar coordinates

Mathematics Subject Classification ID

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

Related Items (8)

Neumann problems of Laplace's equation in circular domains with circular holes by methods of field equations ⋮ Simulation of two-dimensional sloshing phenomenon by generalized finite difference method ⋮ Numerical solutions of mild slope equation by generalized finite difference method ⋮ An analytical Green's function for Laplace operator in an infinite plane with two circular holes using degenerate kernels ⋮ Green’s Function Problem of Laplace Equation with Spherical and Prolate Spheroidal Boundaries by Using the Null-Field Boundary Integral Equation ⋮ Degenerate scale for the Laplace problem in the half-plane; approximate logarithmic capacity for two distant boundaries ⋮ Null field and interior field methods for Laplace's equation in actually punctured disks ⋮ Diffusion in a Disk with a Circular Inclusion

Cites Work

• Equivalence between the Trefftz method and the method of fundamental solution for the annular Green's function using the addition theorem and image concept
• Image solutions for boundary value problems without sources
• Some applications of the Greens' function method in mechanics
• Derivation of Green's function using addition theorem
• Torsion of a Circular Compound Bar With Imperfect Interface
• Progress and Prospects in the Theory of Linear Wave Propagation
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