Numerical solutions of coupled systems of nonlinear elliptic equations

DOI10.1002/num.20648zbMath1246.65198OpenAlexW2005022551MaRDI QIDQ2885165

Igor P. Boglaev

Publication date: 21 May 2012

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20648

zbMATH Keywords

convergencenumerical examplesdomain decompositionupper and lower solutionsmonotone iterationfinite difference discretizationM-matrixlinear elliptic operatorssystem of nonlinear elliptic equationsnonlinear right-hand side

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Nonlinear elliptic equations (35J60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (3)

A parameter robust numerical method for a nonlinear system of singularly perturbed elliptic equations ⋮ Weighted extended B-spline finite element analysis of a coupled system of general elliptic equations ⋮ Finite element approximation analysis for a steady state two-phase transport model of proton exchange membrane fuel cell

Cites Work

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• Convergence of coupled systems of nonlinear finite difference elliptic equations
• Monotone iterates for solving nonlinear monotone difference schemes
• Monotone iterates for solving systems of semilinear elliptic equations and applications
• Matrix Iterative Analysis

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