Convergence of V- and F-cycle multigrid methods for the biharmonic problem using the Hsieh-Clough-Tocher element

被引：6

作者：

Zhao, J ^{[1
]}

机构：

[1] Univ S Carolina, Dept Math, Columbia, SC 29208 USA

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2005年 / 21卷 / 03期

关键词：

multigrid; nonconforming; V-cycle; F-cycle; biharmonic problem; H-C-T element;

D O I：

10.1002/num.20048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Multigrid V- and F-cycle algorithms for the biharmonic problem using the H-C-T element are studied in the article. We show that the contraction numbers can be uniformly improved by increasing the number of smoothing steps. (c) 2004 Wiley Periodicals, Inc.

引用

页码：451 / 471

页数：21

共 3 条

[1] Convergence of V-cycle and F-cycle multigrid methods for the biharmonic problem using the morley element
Zhao, J
[J]. ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 2004, 17 : 112 - 132
[2] Convergence of nonconforming V-cycle and F-cycle multigrid algorithms for second order elliptic boundary value problems
Brenner, SC
[J]. MATHEMATICS OF COMPUTATION, 2004, 73 (247) : 1041 - 1066
[3] Uniform convergence of V-cycle multigrid finite element method for one-dimensional time-dependent fractional problem
Chen, Minghua
Qi, Wenya
Wang, Yantao
[J]. APPLIED MATHEMATICS LETTERS, 2019, 98 : 49 - 56

← 1 →