A Collocation Method for the Numerical Solution of Laplace’s Equation with Nonlinear Boundary Conditions on a Polygon

DOI10.1137/0730035zbMath0781.65087OpenAlexW2059790100MaRDI QIDQ4202392

Robert L. Doucette

Publication date: 6 January 1994

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0730035

zbMATH Keywords

convergencecollocation methodboundary integral equationnonlinear boundary value problemLaplace equationnonlinear integral equationNumerical examplesSuperconvergence

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Nonlinear boundary value problems for linear elliptic equations (35J65) Integral representations of solutions to PDEs (35C15) Numerical solutions to equations with nonlinear operators (65J15) Boundary element methods for boundary value problems involving PDEs (65N38) Singular nonlinear integral equations (45G05) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (4)

Boundary element methods for potential problems with nonlinear boundary conditions ⋮ Nonlinear boundary integral equations for harmonic problems ⋮ The numerical solution of a nonlinear hypersingular boundary integral equation ⋮ A boundary element method for Laplace's equation without numerical integrations

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