Mesh independent superlinear convergence of an inner-outer iterative method for semilinear elliptic interface problems

DOI10.1016/j.cam.2008.08.001zbMath1163.65071OpenAlexW2013414867MaRDI QIDQ1008680

István Antal, János Karátson

Publication date: 30 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2008.08.001

zbMATH Keywords

semilinear elliptic equationsnumerical experimentspreconditioningconjugate gradient methodsuperlinear convergenceinexact Newton methodinterface problemsmesh independence

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (5)

An efficient multigrid method for semilinear interface problems ⋮ Two-grid methods of finite element solutions for semi-linear elliptic interface problems ⋮ Operator preconditioning with efficient applications for nonlinear elliptic problems ⋮ AN INEXACT NEWTON METHOD WITH INNER PRECONDITIONED CG FOR NON-UNIFORMLY MONOTONE ELLIPTIC PROBLEMS ⋮ Two-grid methods for semilinear interface problems

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• Analysis of Immersed Interface Difference Schemes for Reaction-diffusion Problems with Singular Own Sources
• Equivalent Norms for Sobolev Spaces
• A Monotone Iterative Method for Numerical Solution of Diffusion Equations with Nonlinear Localized Chemical Reactions

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