Title :
A spectral multiresolution preconditioner combined with Sparse-Matrix/Canonical Grid Method for analysis of microstrip circuits
Author :
Ding, Dazhi ; Ding, Jianjun ; Li, Mengmeng ; Chen, Rushan
Author_Institution :
Dept. of Commun. Eng., Nanjing Univ. of Sci. & Tech., Nanjing, China
Abstract :
A spectral multiresolution (MR) preconditioner combined with Sparse-Matrix/Canonical Grid Method (SMCG) is developed for fast analysis of microstrip circuits structures. The SMCG is used to speed up the matrix-vector product operations. The spectral MR preconditioner combined with a diagonal preconditioning is employed to achieve the fast convergence rate by augmenting to the generalized minimal residual iterative method (GMRES) a few eigenvectors associated with the smallest eigenvalues of the system. Numerical experiments demonstrate the accuracy and efficiency of the proposed method.
Keywords :
eigenvalues and eigenfunctions; iterative methods; microstrip circuits; sparse matrices; GMRES; eigenvectors; generalized minimal residual iterative method; microstrip circuits; microstrip circuits structures; sparse-matrix-canonical grid method; spectral multiresolution preconditioner; Circuit analysis; Convergence; Eigenvalues and eigenfunctions; Impedance; Iterative methods; Matrix decomposition; Microstrip; Sparse matrices; Taylor series; Transmission line matrix methods;
Conference_Titel :
Microwave and Millimeter Wave Technology (ICMMT), 2010 International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-5705-2
DOI :
10.1109/ICMMT.2010.5524798
