Year: 2016
Author: Zhiyong Liu, Yinnian He
Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 6 : pp. 1072–1083
Abstract
This paper provides a proof of robustness of the restricted additive Schwarz preconditioner with harmonic overlap (RASHO) for the second order elliptic problems with jump coefficients. By analyzing the eigenvalue distribution of the RASHO preconditioner, we prove that the convergence rate of preconditioned conjugate gradient method with RASHO preconditioner is uniform with respect to the large jump and mesh size.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2014.m669
Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 6 : pp. 1072–1083
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Jump coefficients conjugate gradient effective condition number domain decomposition restricted additive Schwarz.
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