ADAPTIVE QUADRILATERAL AND HEXAHEDRAL FINITE ELEMENT METHODS WITH HANGING NODES AND CONVERGENCE ANALYSIS

doi:10.4208/jcm.1001-m3006

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	ADAPTIVE QUADRILATERAL AND HEXAHEDRAL FINITE ELEMENT METHODS WITH HANGING NODES AND CONVERGENCE ANALYSIS
	Zhao, Xuying 1,2; Mao, Shipeng 1; Shi, Zliong-Ci 1; Shi Zhongci; Zhao Xuying; Mao Shipeng
刊名	JOURNAL OF COMPUTATIONAL MATHEMATICS
	2010-09-01
卷号	28 期号:5 页码:621-644
关键词	Finite element method Adaptive algorithm Hanging node 1-irregular mesh Convergence analysis
ISSN号	0254-9409
DOI	10.4208/jcm.1001-m3006
英文摘要	In this paper we study the convergence of adaptive finite element methods for the general non-affine equivalent quadrilateral and hexahedral elements on 1-irregular meshes with hanging nodes. Based on several basic ingredients, such as quasi-orthogonality, estimator reduction and Boiler marking strategy, convergence of the adaptive finite element methods for the general second-order elliptic partial equations is proved. Our analysis is effective for all conforming Q(m) elements which covers both the two- and three-dimensional cases in a unified fashion.
资助项目	Special Funds for Major State Basic Research Project[2005CB321701]
WOS研究方向	Mathematics
语种	英语
出版者	VSP BV
WOS记录号	WOS:000281879100004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/9633]
专题	计算数学与科学工程计算研究所
通讯作者	Zhao, Xuying
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Grad Univ, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Xuying,Mao, Shipeng,Shi, Zliong-Ci,et al. ADAPTIVE QUADRILATERAL AND HEXAHEDRAL FINITE ELEMENT METHODS WITH HANGING NODES AND CONVERGENCE ANALYSIS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2010,28(5):621-644.
APA	Zhao, Xuying,Mao, Shipeng,Shi, Zliong-Ci,Shi Zhongci,Zhao Xuying,&Mao Shipeng.(2010).ADAPTIVE QUADRILATERAL AND HEXAHEDRAL FINITE ELEMENT METHODS WITH HANGING NODES AND CONVERGENCE ANALYSIS.JOURNAL OF COMPUTATIONAL MATHEMATICS,28(5),621-644.
MLA	Zhao, Xuying,et al."ADAPTIVE QUADRILATERAL AND HEXAHEDRAL FINITE ELEMENT METHODS WITH HANGING NODES AND CONVERGENCE ANALYSIS".JOURNAL OF COMPUTATIONAL MATHEMATICS 28.5(2010):621-644.