Substructuring preconditioners for saddle-point problems arising from Maxwell's equations in three dimensions

	Substructuring preconditioners for saddle-point problems arising from Maxwell's equations in three dimensions
	Hu, QY; Zou, J
	2004
发表期刊	MATHEMATICS OF COMPUTATION
ISSN	0025-5718
卷号	73 期号:245 页码:35-61
摘要	This paper is concerned with the saddle-point problems arising from edge element discretizations of Maxwell's equations in a general three dimensional nonconvex polyhedral domain. A new augmented technique is first introduced to transform the problems into equivalent augmented saddle-point systems so that they can be solved by some existing preconditioned iterative methods. Then some substructuring preconditioners are proposed, with very simple coarse solvers, for the augmented saddle-point systems. With the preconditioners, the condition numbers of the preconditioned systems are nearly optimal; namely, they grow only as the logarithm of the ratio between the subdomain diameter and the finite element mesh size.
关键词	Maxwell's equations Nedelec finite elements nonoverlapping domain decomposition condition numbers
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000185850600003
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/654
专题	计算数学与科学工程计算研究所
通讯作者	Hu, QY
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Hu, QY,Zou, J. Substructuring preconditioners for saddle-point problems arising from Maxwell's equations in three dimensions[J]. MATHEMATICS OF COMPUTATION,2004,73(245):35-61.
APA	Hu, QY,&Zou, J.(2004).Substructuring preconditioners for saddle-point problems arising from Maxwell's equations in three dimensions.MATHEMATICS OF COMPUTATION,73(245),35-61.
MLA	Hu, QY,et al."Substructuring preconditioners for saddle-point problems arising from Maxwell's equations in three dimensions".MATHEMATICS OF COMPUTATION 73.245(2004):35-61.