TY - JOUR
T1 - Modified Alternating Positive Semidefinite Splitting Preconditioner for Time-Harmonic Eddy Current Models
AU - Ke , Yifen
AU - Ma , Changfeng
JO - Journal of Computational Mathematics
VL - 5
SP - 733
EP - 754
PY - 2021
DA - 2021/08
SN - 39
DO - http://doi.org/10.4208/jcm.2006-m2020-0037
UR - https://global-sci.org/intro/article_detail/jcm/19379.html
KW - Time-harmonic eddy current model, Saddle point problem, Eigenvalue distribution, Preconditioner.
AB - <p style="text-align: justify;">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.</p>