中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 计算数学与科学工程计算研究所
ADAPTIVE FINITE ELEMENT METHODS ON QUADRILATERAL MESHES WITHOUT HANGING NODES

文献类型：期刊论文

作者Zhao, Xuying1,2; Mao, Shipeng1; Shi, Zhongci1
刊名SIAM JOURNAL ON SCIENTIFIC COMPUTING
出版日期2010
卷号32期号:4页码:2099-2120
关键词local refinement adaptive finite element red-green refinement enneasection 1-irregular mesh hanging node
ISSN号1064-8275
DOI10.1137/090772022
英文摘要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.
资助项目Special Funds For Major State Basic Research Project[2005CB321701]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000280771100019
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11167]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。