ANALYSIS FOR QUADRILATERAL MITC ELEMENTS FOR THE REISSNER-MINDLIN PLATE PROBLEM
文献类型：期刊论文
| 作者 | Hu, Jun1,2; Shi, Zhong-Ci3
|
| 刊名 | MATHEMATICS OF COMPUTATION
 |
| 出版日期 | 2009 |
| 卷号 | 78期号:266页码:673-711 |
| 关键词 | Reissner-Mandlin plate MITC quadrilateral element locking-free |
| ISSN号 | 0025-5718 |
| 英文摘要 | The present paper is made up of two parts. In the first part, we study the mathematical stability and convergence of the quadrilateral MITC elements for the Reissner-Mindlin plate problem in an abstract setting. We generalize the Brezzi-Bathe-Fortin conditions to the quadrilateral MITC elements by weakening the second and fourth conditions. Under these conditions, we show the well-posedness of the discrete problem and establish an abstract error estimate in the energy norm. The conclusion of this part is sparsity in the mathematical research of the quadrilateral MITC elements in the sense that one only needs to check these five conditions. In the second part, we extend four families of rectangular MITC elements of Stenberg and Suri to the quadrilateral meshes. We prove that these quadrilateral elements satisfy the generalized Brezzi-Bathe-Fortin conditions from the first part. We develop the h-p error estimates in both energy and L(2) norm for these quadrilateral elements. For the first three families of quadrilateral elements, the error estimates indicate that their convergent rates in both energy and L(2) norm depend on the mesh distortion parameter alpha. We can get optimal error estimates for them provided that alpha = 1. In addition, we show the optimal convergence rates in energy norm uniformly in alpha for the fourth family of quadrilateral elements. Like their rectangular counterparts, these quadrilateral elements are locking-free. |
| 资助项目 | Special Funds for Major State Basic Research Project ; National Science Foundation of China[10601003] ; Author of National Excellent Doctoral Dissertation of PR China[200718] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000263026800003 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9119]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Hu, Jun |
| 作者单位 | 1.Peking Univ, LMAM, Beijing 100871, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 3.Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hu, Jun,Shi, Zhong-Ci. ANALYSIS FOR QUADRILATERAL MITC ELEMENTS FOR THE REISSNER-MINDLIN PLATE PROBLEM[J]. MATHEMATICS OF COMPUTATION,2009,78(266):673-711. |
| APA | Hu, Jun,&Shi, Zhong-Ci.(2009).ANALYSIS FOR QUADRILATERAL MITC ELEMENTS FOR THE REISSNER-MINDLIN PLATE PROBLEM.MATHEMATICS OF COMPUTATION,78(266),673-711. |
| MLA | Hu, Jun,et al."ANALYSIS FOR QUADRILATERAL MITC ELEMENTS FOR THE REISSNER-MINDLIN PLATE PROBLEM".MATHEMATICS OF COMPUTATION 78.266(2009):673-711. |
入库方式： OAI收割
来源：数学与系统科学研究院
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