On the galerkln boundary element method for a mixed non-linear boundary value problem

DOI10.1080/00036819208840120zbMath0799.65116OpenAlexW1974282445WikidataQ58249745 ScholiaQ58249745MaRDI QIDQ4291591

Keijo Matti Ruotsalainen

Publication date: 16 June 1994

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819208840120

zbMATH Keywords

Laplace equationboundary integral equationsnonlinear operator equationGalerkin boundary element methodnonlinear mixed boundary value problemquasioptimal error estimates\(A\)-proper mapping

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Nonlinear boundary value problems for linear elliptic equations (35J65) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) 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)

Cites Work

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• On the integral equation method for the plane mixed boundary value problem of the Laplacian
• Boundary Integral Equation Solution of Non-linear Plane Potential Problems
• On the approximation-solvability of equations involving 𝐴-proper and pseudo-𝐴-proper mappings
• Projection Methods for a Class of Hammerstein Equations

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