The dimensional splitting iteration methods for solving saddle point problems arising from time-harmonic eddy current models

2017 ◽  
Vol 303 ◽  
pp. 146-164
Author(s):  
Yi-Fen Ke ◽  
Chang-Feng Ma
Keyword(s):  
Saddle Point ◽  
Eddy Current ◽  
Saddle Point Problems ◽  
Time Harmonic ◽  
Dimensional Splitting ◽  
Iteration Methods

scholarly journals New Preconditioning Techniques for Saddle Point Problems Arising from the Time-Harmonic Maxwell Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Qingbing Liu
Keyword(s):  
Saddle Point ◽  
Numerical Experiments ◽  
Maxwell Equations ◽  
Saddle Point Problems ◽  
Finite Element Discretization ◽  
Preconditioning Techniques ◽  
Element Discretization ◽  
Electromagnetic Problems ◽  
Time Harmonic ◽  
Saddle Point Matrices

We study two parameterized preconditioners for iteratively solving the saddle point linear systems arising from finite element discretization of the mixed formulation of the time-harmonic Maxwell equations in electromagnetic problems. We establish some spectral properties of the preconditioned saddle point matrices, involving the choice of the parameter. Meanwhile, we provide some results of numerical experiments to show the effectiveness of the proposed parameterized preconditioners.

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