A consistency analysis for the numerical solution of boundary integral equations

DOI10.1016/0168-9274(85)90002-9zbMath0619.65102OpenAlexW2070992483MaRDI QIDQ1089768

Mark A. Kelmanson

Publication date: 1985

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(85)90002-9

zbMATH Keywords

consistencyharmonic problemboundary integral equation methodsbiharmonic boundary value problems

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Boundary value problems for higher-order elliptic equations (35J40) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations with kernels of Cauchy type (45E05) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items

Rapid zonal algorithm for polyelliptic PDEs in domains with high aspect ratio.

Uses Software

• REDUCE
• MACSYMA

Cites Work

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• An integral equation method for the solution of singular slow flow problems
• The numerical solution of plane potential problems by improved boundary integral equation methods
• Practical applications of an integral equation method for the solution of Laplace's equation
• Integral equation solutions for simply supported polygonal plates
• AN ASYMPTOTIC INTEGRAL EQUATION METHOD FOR THE STUDY OF HEAT TRANSFER IN LONG, THIN DOMAINS
• The Flow of a Non-Newtonian Fluid Past Projections and Depressions