Two-grid methods for finite volume element approximations of nonlinear parabolic equations
type: Item
instance of: scholarly article
title: Two-grid methods for finite volume element approximations of nonlinear parabolic equations
zbMATH Open document ID: 1169.65094
author: Chuanjun Chen
author: Min Yang
author: Chunjia Bi
published in: Journal of Computational and Applied Mathematics
publication date: 2009-05-28T00:00:00Z
review text: The authors prove an error estimate for a finite-volume method for a reaction-diffusion equation on convex polygonal domains in the plane. The reaction term is nonlinear. At each time step the discrete nonlinear equation is solved on a coarse grid, and the result is used as an initial approximation for a Newton iteration on a fine grid.
reviewed by: Gerald W. Hedstrom
Mathematics Subject Classification ID: 65M55
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 5559036
zbMATH Keywords: finite volume method
zbMATH Keywords: reaction-diffusion equation
zbMATH Keywords: error bound
zbMATH Keywords: multigrid method
zbMATH Keywords: Newton iteration
MaRDI profile type: Publication
full work available at URL: j.cam.2008.09.001
OpenAlex ID: W2001898036
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DOI: 10.1016/J.CAM.2008.09.001
description: scientific article; zbMATH DE number 5559036