Boundary Integral Equation Methods for Solving Laplace's Equation with Nonlinear Boundary Conditions: The Smooth Boundary Case

DOI10.2307/2008428zbMath0709.65088OpenAlexW4244869671MaRDI QIDQ3493137

Graeme Chandler, Kendall E. Atkinson

Publication date: 1990

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2008428

zbMATH Keywords

convergenceNewton's methodnumerical examplesboundary integral equationproduct integrationnonlinear boundary value problemLaplace's equationtwo-grid methoddouble layer integralsingle layer integral

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Nonlinear boundary value problems for linear elliptic equations (35J65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Boundary element methods for boundary value problems involving PDEs (65N38) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

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