A Local Positive (Semi)Definite Shift-Splitting Preconditioner for Saddle Point Problems with Applications to Time-Harmonic Eddy Current Models
Year: 2020
Author: Yang Cao, Zhi-Ru Ren
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 1 : pp. 135–157
Abstract
A local positive (semi)definite shift-splitting preconditioner for non-Hermitian saddle point problems arising in finite element discretisations of hybrid formulations of time-harmonic eddy current models is constructed. The convergence of the corresponding iteration methods is proved and the spectral properties of the associated preconditioned saddle point matrices are studied. Numerical experiments show the efficiency of the proposed preconditioner for Krylov subspace methods.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.150319.200619
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 1 : pp. 135–157
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Saddle point problem splitting iteration preconditioning convergence time-harmonic eddy current model.
Author Details
-
A two-parameter shift-splitting preconditioner for saddle point problems
Song, Shengzhong | Huang, ZhengdaComputers & Mathematics with Applications, Vol. 124 (2022), Iss. P.7
https://doi.org/10.1016/j.camwa.2022.08.018 [Citations: 2] -
A parameterized extended shift‐splitting preconditioner for nonsymmetric saddle point problems
Vakili, Seryas | Ebadi, Ghodrat | Vuik, CornelisNumerical Linear Algebra with Applications, Vol. 30 (2023), Iss. 4
https://doi.org/10.1002/nla.2478 [Citations: 2]