A Modified Preconditioner for Parameterized Inexact Uzawa Method for Indefinite Saddle Point Problems
Year: 2018
Author: Xinhui Shao, Chen Li, Tie Zhang, Changjun Li
Journal of Computational Mathematics, Vol. 36 (2018), Iss. 4 : pp. 579–590
Abstract
The preconditioner for parameterized inexact Uzawa methods has been used to solve some indefinite saddle point problems. Firstly, we modify the preconditioner by making it more generalized, then we use theoretical analyses to show that the iteration method converges under certain conditions. Moreover, we discuss the optimal parameter and matrices based on these conditions. Finally, we propose two improved methods. Numerical experiments are provided to show the effectiveness of the modified preconditioner. All methods have fantastic convergence rates by choosing the optimal parameter and matrices.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1702-m2016-0665
Journal of Computational Mathematics, Vol. 36 (2018), Iss. 4 : pp. 579–590
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Preconditioner Inexact Uzawa method Saddle point problems Indefiniteness Convergence.