The mortar element method for a nonlinear biharmonic equation

	The mortar element method for a nonlinear biharmonic equation
	Shi, ZC; Xu, XJ
	2005-09-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	23 期号:5 页码:537-560
摘要	The mortar element method is a new domain decomposition method(DDM) with nonover-lapping subdomains. It can handle the situation where the mesh on different subdomains need not align across interfaces, and the matching of discretizations on adjacent subdomains is only enforced weakly. But until now there has been very little work for nonlinear PDEs. In this paper, we will present a mortar-type Morley element method for a nonlinear biharmonic equation which is related to the well-known Navier-Stokes equation. Optimal energy and H-1-norm estimates are obtained under a reasonable elliptic regularity assumption.
关键词	mortar method nonlinear biharmonic equation H-1-norm error energy norm error
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000232012900008
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1504
专题	计算数学与科学工程计算研究所
通讯作者	Shi, ZC
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Shi, ZC,Xu, XJ. The mortar element method for a nonlinear biharmonic equation[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2005,23(5):537-560.
APA	Shi, ZC,&Xu, XJ.(2005).The mortar element method for a nonlinear biharmonic equation.JOURNAL OF COMPUTATIONAL MATHEMATICS,23(5),537-560.
MLA	Shi, ZC,et al."The mortar element method for a nonlinear biharmonic equation".JOURNAL OF COMPUTATIONAL MATHEMATICS 23.5(2005):537-560.