Uniform convergence of a multigrid method for elliptic equations with anisotropic coefficients-Reference-Cited by-同舟云学术

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Uniform convergence of a multigrid method for elliptic equations with anisotropic coefficients

Published:2018-06-23 Issue:2 Volume:39 Page:1058-1084
ISSN:0272-4979
Container-title:IMA Journal of Numerical Analysis
language:en
Short-container-title:

Author:

Yun Xiaofan¹,Qin Chenxiang²,Wu Jinbiao³⁴¹,Zheng Hui⁵

Affiliation:

1. LMAM, School of Mathematical Sciences, Peking University, Beijing, China

2. School of Mathematical Sciences, Peking University, Beijing, China

3. HEDPS, School of Mathematical Sciences, Peking University, Beijing, China

4. CAPT, School of Mathematical Sciences, Peking University, Beijing, China

5. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, China

Funder

National Science Foundation of China

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Computational Mathematics,General Mathematics

Link

http://academic.oup.com/imajna/article-pdf/39/2/1058/28378243/dry019.pdf

Reference20 articles.

1. A method of block iteration;Arms;SIAM J. Appl. Math.,1956

2. An optimal order process for solving finite element equations;Bank;Math. Comput.,1981

3. A new convergence proof for the multigrid method including the V-cycle;Braess;SIAM J. Numer. Anal.,1983

4. New convergence estimates for multigrid algorithms;Bramble;Math. Comput.,1987

5. Convergence estimates for multigrid algorithms without regularity assumptions;Bramble;Math. Comput.,1991

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