ADAPTIVE QUADRILATERAL AND HEXAHEDRAL FINITE ELEMENT METHODS WITH HANGING NODES AND CONVERGENCE ANALYSIS
文献类型：期刊论文
| 作者 | Zhao, Xuying1,2; Mao, Shipeng1; Shi, Zliong-Ci1; Shi Zhongci ; Zhao Xuying; Mao Shipeng
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| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000281879100004 |
| 出版者 | VSP BV |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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