Title :
Preconditioned for discretized time-harmonic Maxwell equations in mixed forms
Author :
Liu, Shi-Hong ; Su, Hong ; Huang, Zhuo-Hong
Author_Institution :
Dept. of Gen. Studies, Sichuan Eng. Tech. Coll., Deyang, China
Abstract :
In this paper, we establish a type of preconditioners for discretized Maxwell equations in mixed form, theoretically verify the spectral properties of the related preconditioned matrix and numerically compare the performance of the multiplicative block preconditioner presented in this paper, block diagonal preconditioner established in [1] and block triangular preconditioner proposed in [2].
Keywords :
Maxwell equations; matrix algebra; partial differential equations; block triangular preconditioner; discretized time-harmonic Maxwell equation preconditioner; mixed forms; multiplicative block diagonal preconditioner; preconditioned matrix spectral property; Educational institutions; Eigenvalues and eigenfunctions; Finite element methods; Maxwell equations; Symmetric matrices; Vectors; BiCGSTAB iteration method; GMRES iteration method; Saddle point systems; Time-harmonic Maxwell equations;
Conference_Titel :
Image and Signal Processing (CISP), 2011 4th International Congress on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-9304-3
DOI :
10.1109/CISP.2011.6100619
