Block triangular preconditioners for the discretized time-harmonic Maxwell equations in mixed form

2009 ◽  
Vol 180 (2) ◽  
pp. 192-196 ◽  
Author(s):  
Guang-Hui Cheng ◽  
Ting-Zhu Huang ◽  
Shu-Qian Shen
Keyword(s):  
Maxwell Equations ◽  
Mixed Form ◽  
Time Harmonic

scholarly journals New Preconditioners with Two Variable Relaxation Parameters for the Discretized Time-Harmonic Maxwell Equations in Mixed Form

2012 ◽  
Vol 2012 ◽  
pp. 1-13
Author(s):  
Yuping Zeng ◽  
Chenliang Li
Keyword(s):  
Finite Element ◽  
Theoretical Analysis ◽  
Maxwell Equations ◽  
Schur Complement ◽  
Finite Element Discretization ◽  
Element Discretization ◽  
Mixed Form ◽  
Numerical Tests ◽  
Relaxation Parameters ◽  
Time Harmonic

We provide new preconditioners with two variable relaxation parameters for the saddle point linear systems arising from finite element discretization of time-harmonic Maxwell equations in mixed form. The new preconditioners are of block-triangular forms and Schur complement-free. They are extensions of the results in Cheng et al., 2009, Grief and Schötzau, 2007, and Huang et al., 2009. Theoretical analysis shows that all eigenvalues of the preconditioned matrices are tightly clustered, and numerical tests confirm our analysis.

Saddle point least squares iterative solvers for the time harmonic Maxwell equations

2017 ◽  
Vol 74 (11) ◽  
pp. 2915-2928 ◽  
Author(s):  
Constantin Bacuta ◽  
Jacob Jacavage ◽  
Klajdi Qirko ◽  
Francisco-Javier Sayas
Keyword(s):  
Saddle Point ◽  
Least Squares ◽  
Maxwell Equations ◽  
Iterative Solvers ◽  
Time Harmonic
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