Exact solution of Poisson's equation with an elliptical boundary

DOI10.1016/j.amc.2014.04.003zbMath1334.35024OpenAlexW1987865828MaRDI QIDQ275151

André Liemert, Alwin Kienle

Publication date: 25 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.04.003

zbMATH Keywords

Poisson equationelliptic coordinatesgreen's function

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Fundamental solutions to PDEs (35A08) Green's functions for elliptic equations (35J08)

Related Items (2)

Dirichlet-to-Neumann mappings and finite-differences for anisotropic diffusion ⋮ Reprint of: ``Dirichlet-to-Neumann mappings and finite-differences for anisotropic diffusion

Cites Work

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• Separation of variables for a lattice integrable system and the inverse problem
• Fast direct solvers for Poisson equation on 2D polar and spherical geometries
• The closed-form solution for the 2D Poisson equation with a rectangular boundary
• Fast direct solver for Poisson equation in a 2D elliptical domain
• Finite Element Methods for Maxwell's Equations

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