The numerical solution of plane potential problems by improved boundary integral equation methods

DOI10.1016/0021-9991(81)90233-3zbMath0486.65068OpenAlexW2007650928MaRDI QIDQ1164984

P. J. Heggs, M. Manzoor, Derek B. Ingham

Publication date: 1981

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(81)90233-3

zbMATH Keywords

boundary singularitiesLaplace's equationpiecewise linearpiecewise constantdirect boundary integral equation methodpiecewise quadraticplane potential problems

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

• Numerical techniques for two-dimensional Laplacian problems
• Practical applications of an integral equation method for the solution of Laplace's equation
• On the numerical solution of two-dimensional potential problems by an improved boundary integral equation method
• Singularities in the Solution of Laplace's Equation in Two Dimensions
• A Numerical Study of a Singular Elliptic Boundary Value Problem
• Singular Isoparametric Finite Elements
• Boundary Integral Solutions of Laplace's Equation
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