On monotone iteration and Schwarz methods for nonlinear parabolic PDEs.
type: Item
instance of: scholarly article
title: On monotone iteration and Schwarz methods for nonlinear parabolic PDEs.
zbMATH Open document ID: 1038.65090
author: D. Massart
published in: Journal of Computational and Applied Mathematics
publication date: 2004-01-26T00:00:00Z
review text: The author proves convergence of two Schwarz methods for a class of scalar nonlinear parabolic partial differential equations (PDEs). The quasi-monotone nonincreasing case of a coupled system of PDEs is studied and proof of convergence of an additive Schwarz method on finitely many subdomains is given. The other cases (quasi-monotone nondecreasing and mixed quasi-monotone) are also discussed.
Mathematics Subject Classification ID: 65M55
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 2032606
zbMATH Keywords: domain decomposition
zbMATH Keywords: nonlinear parabolic PDE
zbMATH Keywords: Schwarz alternating method
zbMATH Keywords: monotone methods
zbMATH Keywords: subsolution
zbMATH Keywords: supersolution
zbMATH Keywords: convergence
zbMATH Keywords: additive Schwarz method
reviewed by: Emil Minchev
MaRDI profile type: Publication
full work available at URL: j.cam.2003.06.001
OpenAlex ID: W1966150644
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DOI: 10.1016/J.CAM.2003.06.001
description: scientific article; zbMATH DE number 2032606