Mesh independent superlinear convergence of an inner-outer iterative method for semilinear elliptic interface problems
type: Item
instance of: scholarly article
title: Mesh independent superlinear convergence of an inner-outer iterative method for semilinear elliptic interface problems
zbMATH Open document ID: 1163.65071
author: István Antal
author: János Karátson
published in: Journal of Computational and Applied Mathematics
publication date: 2009-03-30T00:00:00Z
review text: The authors are concerned with the finite element approximation of the solutions of some semilinear elliptic interface problems. They introduce an iterative method, based on the Newton algorithm, in order to solve the discretized nonlinear algebraic equations. When the nonlinear terms involved in the system have a prescribed behaviour, the authors show the mesh independency as well as the superlinear convergence of the method.
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 5534923
zbMATH Keywords: semilinear elliptic equations
zbMATH Keywords: interface problems
zbMATH Keywords: conjugate gradient method
zbMATH Keywords: preconditioning
zbMATH Keywords: superlinear convergence
zbMATH Keywords: inexact Newton method
zbMATH Keywords: mesh independence
zbMATH Keywords: numerical experiments
reviewed by: Calin Ioan Gheorghiu
MaRDI profile type: Publication
full work available at URL: j.cam.2008.08.001
OpenAlex ID: W2013414867
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DOI: 10.1016/J.CAM.2008.08.001
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description: scientific article; zbMATH DE number 5534923