Improvement of the rate of convergence estimates for multigrid algorithm

被引：1

作者：

Tavakoli, Ali ^{[1
]}

Kerayechian, Asghar ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Sch Math Sci, Dept Math, Mashhad 9177448974, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 187卷 / 02期

关键词：

finite elements; multigrid algorithms;

D O I：

10.1016/j.amc.2006.09.128

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a new convergence rate for both symmetric and nonsymmetric positive definite problems. In our theory, "regularity and approximation" assumption is used. A new rate of convergence estimate with alpha = 1/2 is used where a is a "regularity and approximation" parameter. Also, a new convergence rate is given by two-grid schemes. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：922 / 928

页数：7

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