A BIE method for a nonlinear BVP

DOI10.1016/0377-0427(93)90047-FzbMath0779.65074OpenAlexW2039608125MaRDI QIDQ2366432

Mahadevan Ganesh

Publication date: 29 June 1993

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(93)90047-f

zbMATH Keywords

collocation methodboundary integral equationnonlinear boundary value problemLaplace equationSuperconvergence

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Nonlinear boundary value problems for linear elliptic equations (35J65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (6)

Finding multiple solutions to elliptic PDE with nonlinear boundary conditions ⋮ Boundary element methods for potential problems with nonlinear boundary conditions ⋮ Solving optimal control problems by GAs ⋮ A new augmented singular transform and its partial Newton-correction method for finding more solutions to nonvariational quasilinear elliptic PDEs ⋮ Nonlinear boundary integral equations for harmonic problems ⋮ The numerical solution of a nonlinear hypersingular boundary integral equation

Uses Software

• BRENTM

Cites Work

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• Solution of nonlinear elliptic equations with boundary singularities by an integral equation method
• \(L^ p\) estimates of boundary integral equations for some nonlinear boundary value problems
• Discrete numerical solvability of Hammerstein integral equations of mixed type
• The convergence of spline collocation for strongly elliptic equations on curves
• On the boundary element method for some nonlinear boundary value problems
• Boundary value problems in heat conduction with nonlinear material and nonlinear boundary conditions
• On integral equations of the first kind with logarithmic kernels
• On the collocation method for a nonlinear boundary integral equation
• On the Asymptotic Convergence of Collocation Methods
• A Discrete Collocation-Type Method for Hammerstein Equations
• Algorithm 554: BRENTM, A Fortran Subroutine for the Numerical Solution of Nonlinear Equations [C5]
• Product Approximation for Non-linear Problems in the Finite Element Method
• Boundary Integral Equation Solution of Non-linear Plane Potential Problems
• On the Sloan iteration applied to integral equations of the first kind
• A New Collocation-Type Method for Hammerstein Integral Equations
• On the Approximation of Fixed Points of Nonlinear Compact Operators
• Equivalent Norms for Sobolev Spaces
• The Numerical Evaluation of Fixed Points for Completely Continuous Operators
• Projection Methods for a Class of Hammerstein Equations
• Numerical Solvability of Hammerstein Integral Equations of Mixed Type

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