OPTIMAL SOLVER FOR MORLEY ELEMENT DISCRETIZATION OF BIHARMONIC EQUATION ON SHAPE-REGULAR GRIDS

doi:10.4208/jcm.1510-m2014-0085

	OPTIMAL SOLVER FOR MORLEY ELEMENT DISCRETIZATION OF BIHARMONIC EQUATION ON SHAPE-REGULAR GRIDS
	Feng, Chunsheng 1; Zhang, Shuo2,3
	2016
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	34 期号:2 页码:159-173
摘要	This paper presents an optimal solver for the Morley element problem for the boundary-value problem of the biharmonic equation by decomposing it into several subproblems and solving these subproblems optimally. The optimality of the proposed method is mathematically proved for general shape-regular grids.
关键词	Biharmonic equation Morley element Optimal solver Precondition Exact sequence
DOI	10.4208/jcm.1510-m2014-0085
语种	英语
资助项目	NSFC[11571293] ; NSFC[11201398] ; NSFC[11101415] ; NSFC[11471026] ; Project of Scientific Research Fund of Hunan Provincial Education Department[14B044] ; Specialized research Fund for the Doctoral Program of Higher Education of China Grant[20124301110003] ; Hunan Provincial Natural Science Foundation of China[14JJ2063] ; SRF
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000399808600003
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25268
专题	计算数学与科学工程计算研究所
通讯作者	Feng, Chunsheng
作者单位	1.Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Feng, Chunsheng,Zhang, Shuo. OPTIMAL SOLVER FOR MORLEY ELEMENT DISCRETIZATION OF BIHARMONIC EQUATION ON SHAPE-REGULAR GRIDS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2016,34(2):159-173.
APA	Feng, Chunsheng,&Zhang, Shuo.(2016).OPTIMAL SOLVER FOR MORLEY ELEMENT DISCRETIZATION OF BIHARMONIC EQUATION ON SHAPE-REGULAR GRIDS.JOURNAL OF COMPUTATIONAL MATHEMATICS,34(2),159-173.
MLA	Feng, Chunsheng,et al."OPTIMAL SOLVER FOR MORLEY ELEMENT DISCRETIZATION OF BIHARMONIC EQUATION ON SHAPE-REGULAR GRIDS".JOURNAL OF COMPUTATIONAL MATHEMATICS 34.2(2016):159-173.