Multiorrid for time-harmonic 3-D eddy-current analysis with edge elements

被引:7
作者
Weiss, B [1 ]
Bíró, O [1 ]
机构
[1] Graz Univ Technol, IGTE, A-8010 Graz, Austria
关键词
convergence of solutions; edge elements; solution of algebraic systems of equations; time-harmonic eddy-currents;
D O I
10.1109/TMAG.2005.846057
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 complex multigrid algorithm for the calculation of time-harmonic three-dimensional eddy currents is presented. The finite-element method with edge elements is used for the discretization of the problems. Different multigrid smoothers are compared for two formulations of the time-harmonic eddy-current problem. It turns out that, using the right combination of smoother and eddy-current formulation, the computation times can be substantially reduced.
引用
收藏
页码:1712 / 1715
页数:4
相关论文
共 11 条
[1]  
Arnold DN, 2000, NUMER MATH, V85, P197, DOI 10.1007/s002110000137
[2]   Edge element formulations of eddy current problems [J].
Bíró, O .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 169 (3-4) :391-405
[3]  
FREUND RW, 1994, SIAM J SCI COMPUT, V15, P297
[4]   RESULTS FOR BENCHMARK PROBLEM-7 (ASYMMETRICAL CONDUCTOR WITH A HOLE) [J].
FUJIWARA, K ;
NAKATA, T .
COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 1990, 9 (03) :137-154
[5]   Multigrid method for Maxwell's equations [J].
Hiptmair, R .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1998, 36 (01) :204-225
[6]   On convergence of ICCG applied to finite-element equation for quasi-static fields [J].
Igarashi, H ;
Honma, T .
IEEE TRANSACTIONS ON MAGNETICS, 2002, 38 (02) :565-568
[7]  
REITZINGER S, 2001, ALGEBRAIC MULTIGRID
[8]  
Trottenberg U., 2001, MULTIGRID
[9]   On the convergence oftransient eddy-current problems [J].
Weiss, B ;
Bíró, O .
IEEE TRANSACTIONS ON MAGNETICS, 2004, 40 (02) :957-960
[10]   Multigrid for transient 3D eddy current analysis [J].
Weiss, B ;
Bíró, O .
COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 2003, 22 (03) :779-788