scholarly journals Some Preconditioning Techniques for Saddle Point Problems

Author(s):  
Michele Benzi ◽  
Andrew J. Wathen
2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Qingbing Liu

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.


2014 ◽  
Vol 234 ◽  
pp. 584-598 ◽  
Author(s):  
Zhao-Zheng Liang ◽  
Guo-Feng Zhang

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