Iterative solutions of boundary integral equations of the first kind

DOI10.1016/0022-247X(92)90210-5zbMath0755.65107OpenAlexW1988473584MaRDI QIDQ1197401

John F. Ahner, George C. Hsiao

Publication date: 16 January 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90210-5

zbMATH Keywords

Laplace equationexterior Dirichlet problemLandweber- Fridman iterative schemesystem of Fredholm integral equations of the first kind

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Numerical methods for integral equations (65R20) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (1)

On using a modified Nyström method to solve the 2-D potential problem

Cites Work

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• Error analysis in numerical solution of acoustic integral equations
• On Iteration Procedures for Equations of the First Kind, Ax = y, and Picard's Criterion for the Existence of a Solution
• Solution of Boundary Value Problems by Integral Equations of the First Kind
• An Iteration Formula for Fredholm Integral Equations of the First Kind

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