On the numerical solution of some semilinear elliptic problems. II

DOI10.1007/s00607-004-0094-yzbMath1072.65156OpenAlexW2102995950MaRDI QIDQ1776520

Kendall E. Atkinson, Alvise Sommariva

Publication date: 12 May 2005

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-004-0094-y

zbMATH Keywords

Dirichlet problemGalerkin methodnumerical exampleseigenfunctionsbasis functionsequivalent integral equationsemi-linear elliptic boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (4)

Solving the nonlinear Poisson equation on the unit disk ⋮ Orthogonal polynomials for the solution of semi linear two-point boundary value problems ⋮ Compact-FDM for mildly nonlinear two-space dimensional elliptic BVPs in polar coordinate system and its convergence theory ⋮ Discontinuous Galerkin Methods for Semilinear Elliptic Boundary Value Problem

Uses Software

• Schwarz-Christoffel
• SC Toolbox

Cites Work

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• A survey of numerical methods for solving nonlinear integral equations
• On the numerical solution of some semilinear elliptic problems
• A note on the integral formulation of Kumar and Sloan
• On the solution of the Liouville equation over a rectangle
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• Theoretical Numerical Analysis
• Eigenvalues of the Laplacian in Two Dimensions
• Projection and Iterated Projection Methods for Nonlinear Integral equations
• The Numerical Solution of Integral Equations of the Second Kind
• A New Collocation-Type Method for Hammerstein Integral Equations

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