A note on convergence of V-cycle nonconforming multigrid methods

被引：1

作者：

Xu, XJ

Li, LK

机构：

[1] Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China

[2] Fudan Univ, Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China

[3] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1999年 / 104卷 / 2-3期

关键词：

D O I：

10.1016/S0096-3003(98)10079-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the nonconforming multigrid methods are studied, i.e., the fine mesh spaces and coarse mesh spaces also use the same nonconforming finite element. Contrary to the observation by Chen [Convergence of multigrid method for nonconforming method, pre print, 1996], even if quadratic forms are not changed on coarse meshes, V-cycle nonconforming multigrid methods still can converge. The key of our methods is the choice of a "good" intergrid operator. Moreover, optimal convergent order of our V-cycle nonconforming multigrid methods is obtained. (C) 1999 Elsevier Science Inc. All rights reserved.

引用

页码：191 / 206

页数：16

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