Title :
A constraint preconditioner for discretized time-harmonic Maxwell equations
Author :
Huang, Zhuo-Hong ; Su, Hong ; Zhao, Zhen-Hua
Author_Institution :
Sch. of Math. & Stat., Chongqing Univ. of Technol. Chongqing, Chongqing, China
Abstract :
In this paper, we establish a new type of constraint preconditioner for solving symmetric, indefinite saddle point system arising from Maxwell equation in mixed form and study the spectral properties of the related preconditioned matrix. By comparing the performance of the constraint preconditioner presented in this paper and block diagonal preconditioner established in [1], we numerically verify the accuracy and practicability of the constraint preconditioner.
Keywords :
Maxwell equations; matrix algebra; spectral analysis; block diagonal preconditioner; constraint preconditioner; discretized time-harmonic Maxwell equations; preconditioned matrix; symmetric indefinite saddle point system; Eigenvalues and eigenfunctions; Electromagnetic scattering; Finite element methods; Harmonic analysis; Linear systems; Maxwell equations; Symmetric matrices; BiCGSTAB iteration method; Constraint preconditioner; GMRES iteration method; Saddle point systems; Time-harmonic Maxwell equations;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6001722
