Additive Schwarz methods for the Crouzeix-Raviart mortar finite element for elliptic problems with discontinuous coefficients

doi:10.1007/s00211-005-0625-2

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	Additive Schwarz methods for the Crouzeix-Raviart mortar finite element for elliptic problems with discontinuous coefficients
	Rahman, T ; Xu, XJ ; Hoppe, R
	2005-09-01
发表期刊	NUMERISCHE MATHEMATIK
ISSN	0029-599X
卷号	101 期号:3 页码:551-572
摘要	In this paper, we propose two variants of the additive Schwarz method for the approximation of second order elliptic boundary value problems with discontinuous coefficients, on nonmatching grids using the lowest order Crouzeix-Raviart element for the discretization in each subdomain. The overall discretization is based on the mortar technique for coupling nonmatching grids. The convergence behavior of the proposed methods is similar to that of their closely related methods for conforming elements. The condition number bound for the preconditioned systems is independent of the jumps of the coefficient, and depend linearly on the ratio between the subdomain size and the mesh size. The performance of the methods is illustrated by some numerical results.
DOI	10.1007/s00211-005-0625-2
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000235905300008
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1108
专题	中国科学院数学与系统科学研究院
通讯作者	Rahman, T
作者单位	1.Univ Bergen, Bergen Ctr Computat Sci, N-5008 Bergen, Norway 2.Chinese Acad Sci, LSEC, Inst Computat Mech, Beijing 100080, Peoples R China 3.Univ Houston, Dept Math, Houston, TX 77204 USA 4.Univ Augsburg, Inst Math, D-86159 Augsburg, Germany
推荐引用方式 GB/T 7714	Rahman, T,Xu, XJ,Hoppe, R. Additive Schwarz methods for the Crouzeix-Raviart mortar finite element for elliptic problems with discontinuous coefficients[J]. NUMERISCHE MATHEMATIK,2005,101(3):551-572.
APA	Rahman, T,Xu, XJ,&Hoppe, R.(2005).Additive Schwarz methods for the Crouzeix-Raviart mortar finite element for elliptic problems with discontinuous coefficients.NUMERISCHE MATHEMATIK,101(3),551-572.
MLA	Rahman, T,et al."Additive Schwarz methods for the Crouzeix-Raviart mortar finite element for elliptic problems with discontinuous coefficients".NUMERISCHE MATHEMATIK 101.3(2005):551-572.