ADAPTIVE FINITE ELEMENT METHODS ON QUADRILATERAL MESHES WITHOUT HANGING NODES

doi:10.1137/090772022

	ADAPTIVE FINITE ELEMENT METHODS ON QUADRILATERAL MESHES WITHOUT HANGING NODES
	Zhao, Xuying1,2 ; Mao, Shipeng1 ; Shi, Zhongci1
	2010
发表期刊	SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN	1064-8275
卷号	32 期号:4 页码:2099-2120
摘要	Hanging nodes have some disadvantages in the implementation of adaptive finite element methods on quadrilateral meshes, which usually need further techniques to treat them. In this paper, we present a shape regular local refinement algorithm on quadrilateral meshes without hanging nodes, which can be viewed as an extension of the original red-green refinement proposed by Bank, Sherman, and Weiser [Refinement algorithms and data structures for regular local mesh refinement, in Scientific Computing: Applications of Mathematics and Computing to the Physical Sciences, R. S. Stepleman, ed., North-Holland, Amsterdam, 1983, pp. 3-17]. We also prove this quadrilateral red-green refinement can hold the shape regularity and conformity of quadrilateral meshes. Furthermore, we have successfully accomplished the adaptive finite element computation on quadrilateral meshes without hanging nodes. Numerical results show that the adaptive algorithm with this red-green refinement is quasi-optimal. Some properties of this local refinement on quadrilateral meshes are also covered in this paper.
关键词	local refinement adaptive finite element red-green refinement enneasection 1-irregular mesh hanging node
DOI	10.1137/090772022
语种	英语
资助项目	Special Funds For Major State Basic Research Project[2005CB321701]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000280771100019
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11168
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, Inst Computat Math, 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, Zhongci. ADAPTIVE FINITE ELEMENT METHODS ON QUADRILATERAL MESHES WITHOUT HANGING NODES[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2010,32(4):2099-2120.
APA	Zhao, Xuying,Mao, Shipeng,&Shi, Zhongci.(2010).ADAPTIVE FINITE ELEMENT METHODS ON QUADRILATERAL MESHES WITHOUT HANGING NODES.SIAM JOURNAL ON SCIENTIFIC COMPUTING,32(4),2099-2120.
MLA	Zhao, Xuying,et al."ADAPTIVE FINITE ELEMENT METHODS ON QUADRILATERAL MESHES WITHOUT HANGING NODES".SIAM JOURNAL ON SCIENTIFIC COMPUTING 32.4(2010):2099-2120.