Jm. Jin et al., Frequency-domain and time-domain finite-element solution of Maxwell's equations using spectral Lanczos decomposition method, COMPUT METH, 169(3-4), 1999, pp. 279-296
Citations number
41
Categorie Soggetti
Mechanical Engineering
Journal title
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
An efficient solver is described for the solution of the electromagnetic fi
elds in both time and frequency domains. The proposed method employs the no
de-based and the edge-based finite-element method (FEM) to discretize Maxwe
ll's equations. The resultant matrix equation is solved by the spectral Lan
czos decomposition method (SLDM), which is based on the Krylov subspace (La
nczos) approximation of the solution. First, a new explicit axisymmetric so
lver for the diffusion of electromagnetic fields in an inhomogeneous medium
is introduced. The procedure is then extended to treat the three-dimension
al problems in the low frequency regime. Finally, Maxwell's equations, in t
heir general form, are solved in frequency and time domains. Depending on t
he application, our method requires the implementation of the Lanczos proce
ss only at the largest or smallest time or frequency of interest. Consequen
tly, a multiple time and frequency domain analysis of the electromagnetic f
ields is achieved in a negligible amount of extra computing time. The effic
iency and effectiveness of this new technique are illustrated by using vari
ous practical numerical examples. (C) 1999 Elsevier Science S.A. All rights
reserved.