An FEM-CSM combined method for planar exterior Laplace problems

DOI10.1007/BF03168580zbMath0986.65107OpenAlexW2319057153MaRDI QIDQ5944162

Teruo Ushijima

Publication date: 28 May 2002

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03168580

zbMATH Keywords

Dirichlet problemfinite element methoderror boundsLaplace equationFourier seriesPoisson equationcharge simulation methodnon-local boundary operatorplanar exterior Laplace problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Electro- and magnetostatics (78A30)

Related Items

A fundamental solution method for the reduced wave problem in a domain exterior to a disc ⋮ An FEM identification procedure for a wing section within a class of finite Laurent series ⋮ Error analysis of an enhanced DtN-FE method for exterior scattering problems ⋮ Error estimates of the DtN finite element method for the exterior Helmholtz problem ⋮ Error estimates for a fundamental solution method applied to reduced wave problems in a domain exterior to a disc ⋮ A survey on artificial boundary method ⋮ Exponential decay of errors of a fundamental solution method applied to a reduced wave problem in the exterior region of a disc

Cites Work

• A finite element method for large domains
• Dirichlet and Neumann exterior problems for the \(n\)-dimensional Laplace operator. An approach in weighted Sobolev spaces
• Curved Elements in the Finite Element Method. I
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