Generalized block triangular preconditioner for symmetric saddle point problems

Authors:
Shi-Liang Wu;Ting-Zhu Huang;Cui-Xia Li
Affiliations:
University of Electronic Science and Technology of China, School of Applied Mathematics, 610054, Chengdu, Sichuan, People’s Republic of China;University of Electronic Science and Technology of China, School of Applied Mathematics, 610054, Chengdu, Sichuan, People’s Republic of China;Yunnan University, Department of Mathematics, 650091, Kunming, Yunnan, People’s Republic of China
Venue:
Computing
Year:
2009

Citing 11
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Abstract

In this paper, spectral properties and computational performance of a generalized block triangular preconditioner for symmetric saddle point problems are discussed in detail. We will provide estimates for the region containing both the nonreal and the real eigenvalues and generalize the results of Simoncini (Appl Numer Math 49:63–80, 2004) and Cao (Appl Numer Math 57:899–910, 2007). Finally, numerical experiments of the model Stokes problem are reported.