一个Hermite-型矩形元的V-cycle多重网格法

数学季刊 ›› 2010, Vol. 25 ›› Issue (1): 140-145.

一个Hermite-型矩形元的V-cycle多重网格法

1. School of Mathematical Sciences, Xuchang University2. Department of Mathematics, Zhengzhou University

收稿日期:2005-06-23 出版日期:2010-03-30 发布日期:2023-06-14
作者简介: ZHAO Yan-min(1979- ), female, native of Yanling, Henan, a lecturer of Xuchang University, Ph.D., engages in finite element method; SHI Dong-yang(1963- ), male, native of Lushan, Henan, a professor of Zhengzhou University, Ph.D., engages in finite element method.
基金资助:
Supported by NSF of China(10971203)； Supported by the NSF of the education Department of Henan Province (2009A110017)；

The V-cycle Multigrid Method for a Hermite-type Rectangular Element

1. School of Mathematical Sciences, Xuchang University2. Department of Mathematics, Zhengzhou University

Received:2005-06-23 Online:2010-03-30 Published:2023-06-14
About author: ZHAO Yan-min(1979- ), female, native of Yanling, Henan, a lecturer of Xuchang University, Ph.D., engages in finite element method; SHI Dong-yang(1963- ), male, native of Lushan, Henan, a professor of Zhengzhou University, Ph.D., engages in finite element method.
Supported by:
Supported by NSF of China(10971203)； Supported by the NSF of the education Department of Henan Province (2009A110017)；

摘要/Abstract

摘要： In this paper, a V-cycle multigrid method is presented for a Hermite rectangular element. By defining proper mesh-dependent inner product and transfer operator, we obtain its convergence property and the uniform convergence rate independent of mesh size and level are established.

关键词: V-cycle, Hermite-type, multigrid method, transfer operator

Abstract: In this paper, a V-cycle multigrid method is presented for a Hermite rectangular element. By defining proper mesh-dependent inner product and transfer operator, we obtain its convergence property and the uniform convergence rate independent of mesh size and level are established.

Key words: V-cycle, Hermite-type, multigrid method, transfer operator

赵艳敏, 石东洋. 一个Hermite-型矩形元的V-cycle多重网格法[J]. 数学季刊, 2010, 25(1): 140-145.

ZHAO Yan-min, SHI Dong-yang. The V-cycle Multigrid Method for a Hermite-type Rectangular Element [J]. Chinese Quarterly Journal of Mathematics, 2010, 25(1): 140-145.