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SSOR预处理技术在二维电磁特性TDFEM分析中的应用
引用本文:何小祥,刘梅林.SSOR预处理技术在二维电磁特性TDFEM分析中的应用[J].南京航空航天大学学报,2006,38(6):670-673.
作者姓名:何小祥  刘梅林
作者单位:南京航空航天大学信息科学与技术学院,南京,210016
摘    要:将对称超松弛(Symmetric successive over-re laxation,SSOR)预处理的共轭梯度法(Con jugate-gradient,CG)和双共轭梯度法(BICG)应用于时域有限元方法(Time doma in finitee lemen tmethod,TDFEM)中,研究了CG,SSOR-PCG,B ICG以及SSOR-PB ICG的收敛特性。数值结果表明,通过SSOR预处理技术,TDFEM的计算效率可以提高数倍,从而证明了所给方法的高效性。

关 键 词:时域有限元方法(TDFEM)  对称超松弛(SSOR)方法  预处理技术  计算电磁学
文章编号:1005-2615(2006)06-0670-04
收稿时间:2006-04-20
修稿时间:2006-05-30

Application of SSOR Preconditioning Technique in TDFEM for 2-D Electromagnetic Analysis
He Xiaoxiang,Liu Meilin.Application of SSOR Preconditioning Technique in TDFEM for 2-D Electromagnetic Analysis[J].Journal of Nanjing University of Aeronautics & Astronautics,2006,38(6):670-673.
Authors:He Xiaoxiang  Liu Meilin
Abstract:Symmetric successive over-relaxation(SSOR) preconditioned conjugate-gradient(CG) method and Bi-conjugate-gradient(BICG) method are applied to time domain finite element method(TDFEM).As a result,the equation by solving every time step of TDFEM is accelerated,and the efficiency of TDFEM is improved.Finally,the low efficiency of TDFEM for electromagnetic analysis is overcame.The convergences of CG,SSOR-PCG,BICG and SSOR-PBICG in TDFEM are investigated.Numerical results demonstrate that CG and BICG solvers can be accelerated several times faster with SSOR preconditioner,thus the high efficiency of SSOR in TDFEM is shown.
Keywords:time domain finite element method(TDFEM)  symmetrical successive overrelaxation(SSOR)  precondition technique  computational electromagnetics(CEM)
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