Preconditioners for higher order edge finite element discretizations of Maxwell's equations

CSpace

	Preconditioners for higher order edge finite element discretizations of Maxwell's equations
	ZHONG LiuQiang 1; SHU Shi 1; SUN DuDu 2; TAN Lin 3
	2008-01-01
发表期刊	Science in China. Series A: Mathematics
ISSN	1006-9283
卷号	51 期号:8 页码:1537
摘要	In this paper, we are concerned with the fast solvers for higher order edge finite element discretizations of Maxwell's equations. We present the preconditioners for the first family and second of two kinds of edge finite element spaces with the abstract theory of auxiliary space preconditioning,we prove that the corresponding condition numbers of our preconditioners are uniformly bounded on quasi-uniform grids. We also present some numerical experiments to demonstrate the theoretical results.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6899
专题	中国科学院数学与系统科学研究院
作者单位	1.School of Mathematical and Computational Sciences,Xiangtan University 2.Institute of Computational Mathematics and Scientific/Engineering Computing,Academy of Mathematics and Systems Science,Graduate University of Chinese Academy of Sciences,Chinese Academy Sciences 3.Department of Math-Physics,Nanhua University
推荐引用方式 GB/T 7714	ZHONG LiuQiang,SHU Shi,SUN DuDu,et al. Preconditioners for higher order edge finite element discretizations of Maxwell's equations[J]. Science in China. Series A: Mathematics,2008,51(8):1537.
APA	ZHONG LiuQiang,SHU Shi,SUN DuDu,&TAN Lin.(2008).Preconditioners for higher order edge finite element discretizations of Maxwell's equations.Science in China. Series A: Mathematics,51(8),1537.
MLA	ZHONG LiuQiang,et al."Preconditioners for higher order edge finite element discretizations of Maxwell's equations".Science in China. Series A: Mathematics 51.8(2008):1537.