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- Title
An alternating positive-semidefinite splitting preconditioner for saddle point problems from time-harmonic eddy current models.
- Authors
ZHI-RU REN; YANG CAO
- Abstract
For the saddle point problem arising from the finite element discretization of the hybrid formulation of the time-harmonic eddy current problem, we propose an alternating positive-semidefinite splitting (APSS) preconditioner which is based on two positive-semidefinite splittings of the saddle point matrix. It is proved that the corresponding APSS iteration method is unconditionally convergent. We show that the new preconditioner is much easier to implement than the block alternating splitting implicit preconditioner proposed in Bai (2012, Numer. Linear Algebra Appl., 19, 914-936) when they are used to accelerate the convergence rate of Krylov subspace methods such as GMRES. Numerical examples are given to show the effectiveness of our proposed preconditioner.
- Subjects
SADDLEPOINT approximations; EDDY currents (Electric); DISCRETIZATION methods; ITERATIVE methods (Mathematics); PROBLEM solving
- Publication
IMA Journal of Numerical Analysis, 2016, Vol 36, Issue 2, p922
- ISSN
0272-4979
- Publication type
Article
- DOI
10.1093/imanum/drv014