New wavelet based approach for time domain simulations

被引：2
作者：
Barmada, S [1 ]
Raugi, M [1 ]
机构：
[1] Univ Pisa, Sist Elett & Automaz, I-56126 Pisa, Italy
来源：
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2003年 / 51卷 / 07期
关键词：
time domain numerical techniques; wavelet expansion;
D O I：
10.1109/TAP.2003.813615
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
A new numerical method for the time domain solution of Maxwell's equations in linear media is proposed in this paper. The field quantities derived from the spatial discretization of Maxwell's equations are expanded in the time domain by wavelets on the interval. This choice yields a new arrangement of the unknowns into a matrix (instead of the usual vector) and transforms the differential equations in time in a Sylvester matrix equation. The memory requirements are proportional to the number of spatial unknowns and the time evolution of the space quantities is obtained with better accuracy than in conventional marching-on-time techniques.
引用
收藏
页码：1590 / 1598
页数：9
相关论文
共 31 条
[11]  
Daubechies I., 1993, Ten Lectures of Wavelets, V28, P350
[12]   Multiresolution time-domain using CDF biorthogonal wavelets [J].
Dogaru, T ;
Carin, L .
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 2001, 49 (05) :902-912
[13]   PRECONDITIONED KRYLOV SUBSPACE METHODS FOR LYAPUNOV MATRIX EQUATIONS [J].
HOCHBRUCK, M ;
STARKE, G .
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1995, 16 (01) :156-171
[14]   KRYLOV-SUBSPACE METHODS FOR THE SYLVESTER EQUATION [J].
HU, DY ;
REICHEL, L .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 172 :283-313
[15]   KRYLOV SUBSPACE METHODS FOR SOLVING LARGE LYAPUNOV EQUATIONS [J].
JAIMOUKHA, IM ;
KASENALLY, EM .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1994, 31 (01) :227-251
[16]   MRTD: New time-domain schemes based on multiresolution analysis [J].
Krumpholz, M ;
Katehi, LPB .
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1996, 44 (04) :555-571
[17]   SOLUTION OF LYAPUNOV EQUATIONS BY ALTERNATING DIRECTION IMPLICIT ITERATION [J].
LU, A ;
WACHSPRESS, EL .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1991, 21 (09) :43-58
[18]   PRINCIPAL COMPONENT ANALYSIS IN LINEAR-SYSTEMS - CONTROLLABILITY, OBSERVABILITY, AND MODEL-REDUCTION [J].
MOORE, BC .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (01) :17-32
[19]   On the use of Coifman intervallic wavelets in the method of moments for fast construction of wavelet sparsified matrices [J].
Pan, GW ;
Toupikov, MV ;
Gilbert, BK .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1999, 47 (07) :1189-1200
[20]   A tutorial on wavelets from an electrical engineering perspective, part 1: Discrete wavelet techniques [J].
Sarkar, TK ;
Su, C ;
Adve, R ;
Salazar-Palma, M ;
Garcia-Castillo, L ;
Boix, RR .
IEEE ANTENNAS AND PROPAGATION MAGAZINE, 1998, 40 (05) :49-70
1234