On linear monotone iteration and Schwarz methods for nonlinear elliptic PDEs
type: Item
instance of: scholarly article
title: On linear monotone iteration and Schwarz methods for nonlinear elliptic PDEs
zbMATH Open document ID: 1010.65052
author: Yanyan Li
published in: Numerische Mathematik
publication date: 2002-12-01T00:00:00Z
review text: Proofs of convergence of some Schwarz alternating methods for nonlinear elliptic problems are given. The nonlinear partial differential equations (PDEs) are known to have solutions by the monotone method. In particular it is shown that an additive Schwarz method for some scalar equations as well as systems converges on finitely many subdomains even in case that multiple solutions are possible.
reviewed by: Thomas Sonar
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 1837414
zbMATH Keywords: monotone iteration
zbMATH Keywords: Schwarz alternating methods
zbMATH Keywords: nonlinear elliptic problems
zbMATH Keywords: convergence
zbMATH Keywords: nonlinear partial differential equations
zbMATH Keywords: additive Schwarz method
MaRDI profile type: Publication
full work available at URL: s002110100349
OpenAlex ID: W4250875533
DOI: 10.1007/S002110100349
description: scientific article; zbMATH DE number 1837414