Numerical integrations and unit resolution multipliers for domain decomposition methods with nonmatching grids

doi:10.1007/s00607-004-0093-z

	Numerical integrations and unit resolution multipliers for domain decomposition methods with nonmatching grids
	Hu, Q
	2005-03-01
发表期刊	COMPUTING
ISSN	0010-485X
卷号	74 期号:2 页码:101-129
摘要	In this paper, we are concerned with the non-overlapping domain decomposition method (DDM) with nonmatching grids for three-dimensional problems. The weak continuity of the DDM solution on the interface is imposed by some Lagrange multiplier. We shall first analyze the influence of the numerical integrations over the interface on the (non-conforming) approximate solution. Then we will propose a simple approach to construct multiplier spaces, one of which can be simply spanned by some smooth basis functions with local compact supports, and thus makes the numerical integrations on the interface rather simple and inexpensive. Also it is shown this multiplier space can generate an optimal approximate solution. Numerical results are presented to compare the new method with the point to point method widely used in engineering.
关键词	domain decomposition nonmatching grids mortar element numerical integration error estimate unit resolution multiplier smooth basis
DOI	10.1007/s00607-004-0093-z
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Theory & Methods
WOS记录号	WOS:000227964900002
出版者	SPRINGER WIEN
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1930
专题	计算数学与科学工程计算研究所
通讯作者	Hu, Q
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hu, Q. Numerical integrations and unit resolution multipliers for domain decomposition methods with nonmatching grids[J]. COMPUTING,2005,74(2):101-129.
APA	Hu, Q.(2005).Numerical integrations and unit resolution multipliers for domain decomposition methods with nonmatching grids.COMPUTING,74(2),101-129.
MLA	Hu, Q."Numerical integrations and unit resolution multipliers for domain decomposition methods with nonmatching grids".COMPUTING 74.2(2005):101-129.