A new cascadic multigrid
type: Item
instance of: scholarly article
title: A new cascadic multigrid
zbMATH Open document ID: 1004.65135
DOI: 10.1007/BF02872279
author: Xuejun Xu
author: Zhongci Shi
published in: Science in China. Series A
publication date: 2002-08-15T00:00:00Z
review text: It is known that cascadic (oneway) multigrid methods may fail to be optimally efficient or may not even converge unless special restrictions are imposed. It is shown here that these special restrictions need not always be imposed on the finest grid. For a second-order elliptic equation, for example, nonconforming piecewise linear finite elements may be used on the finest grid if conforming elements are used on the coarser grids. Efficient finite elements for elastic plate problems are also presented.
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1782036
zbMATH Keywords: cascadic multigrid
zbMATH Keywords: finite element
zbMATH Keywords: convergence
zbMATH Keywords: second-order elliptic equation
zbMATH Keywords: elastic plate problems
reviewed by: Gerald W. Hedstrom
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02872279
OpenAlex ID: W1542419919
description: scientific article; zbMATH DE number 1782036