Covolume-based intergrid transfer operator in \(P_{1}\) nonconforming multigrid method
type: Item
instance of: scholarly article
title: Covolume-based intergrid transfer operator in \(P_{1}\) nonconforming multigrid method
zbMATH Open document ID: 1056.65134
author: Kab Seok Kang
published in: Applied Numerical Mathematics
publication date: 2004-10-12T00:00:00Z
review text: The finite element spaces with the nonconforming \(P_1\) element are not nested. The transfer operators between consecutive levels use interpolation by weighted mean values. If an error of higher order by the transfer is wanted, negative weights are often encountered. In this paper the volume of the elements enter into the weights. Also negative weights are avoided in view of nonlinear problems.
reviewed by: D. Braess
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 2107327
zbMATH Keywords: multigrid method
zbMATH Keywords: covolume method
zbMATH Keywords: nonconforming finite elements
zbMATH Keywords: elliptic equations
zbMATH Keywords: nonlinear problems
describes a project that uses: Wesseling
MaRDI profile type: Publication
full work available at URL: j.apnum.2004.01.011
OpenAlex ID: W2086954813
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DOI: 10.1016/J.APNUM.2004.01.011
description: scientific article; zbMATH DE number 2107327