Image solutions for boundary value problems without sources

DOI10.1016/j.amc.2010.02.048zbMath1189.65297OpenAlexW2064768837MaRDI QIDQ972918

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

Publication date: 21 May 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.02.048

zbMATH Keywords

convergencenumerical examplesboundary value problemLaplace equationimage methodbipolar coordinatesmethod of fundamental solution

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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)

A study on the method of fundamental solutions using an image concept ⋮ Bipolar coordinates, image method and the method of fundamental solutions for Green's functions of Laplace problems containing circular boundaries ⋮ Study on connections of the MFS, Trefftz method, indirect BIEM and invariant MFS in the three-dimensional Laplace problems containing spherical boundaries ⋮ Green's functions for heat conduction for unbounded and bounded rectangular spaces: time and frequency domain solutions ⋮ Image location for screw dislocation. A new point of view

Cites Work

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• 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 method for a dielectric plate and a point charge
• Progress and Prospects in the Theory of Linear Wave Propagation
• Solutions for Edge Dislocation in Anisotropic Film–substrate System by the Image Method
• Null‐field approach for Laplace problems with circular boundaries using degenerate kernels
• The scope of the image method

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