Modified Alternating Positive Semidefinite Splitting Preconditioner for Time-Harmonic Eddy Current Models
Year: 2021
Author: Yifen Ke, Changfeng Ma
Journal of Computational Mathematics, Vol. 39 (2021), Iss. 5 : pp. 733–754
Abstract
In this paper, we consider a modified alternating positive semidefinite splitting preconditioner for solving the saddle point problems arising from the finite element discretization of the hybrid formulation of the time-harmonic eddy current model. The eigenvalue distribution and an upper bound of the degree of the minimal polynomial of the preconditioned matrix are studied for both simple and general topology. Numerical results demonstrate the effectiveness of the proposed preconditioner when it is used to accelerate the convergence rate of Krylov subspace methods such as GMRES.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2006-m2020-0037
Journal of Computational Mathematics, Vol. 39 (2021), Iss. 5 : pp. 733–754
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Time-harmonic eddy current model Saddle point problem Eigenvalue distribution Preconditioner.