KMS Of Academy of mathematics and systems sciences, CAS
On mortar-type Morley element method for plate bending problem | |
Huang, JG; Li, LK; Chen, JR | |
2001-06-01 | |
发表期刊 | APPLIED NUMERICAL MATHEMATICS
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ISSN | 0168-9274 |
卷号 | 37期号:4页码:519-533 |
摘要 | The purpose of this paper is to consider a mortar element method with locally nonconforming elements for solving plate bending problem. On the subdomains, Morley nonconforming elements are used with different mesh triangulations as desire; at the interfaces two mortar conditions, one for the solution itself in pointwise way, the other for the normal derivative of the solution in the projection way, are given to keep the global convergence of this method. After some detailed analysis, an error estimate in energy norm is obtained, which is optimal in approximation order and only requires the regularity just like that for Morley element method (Arnold and Brezzi (1985), Shi (1990)), namely, u is an element of H-3 (Omega) boolean AND H-0(2) (Omega), f is an element of L-2(Omega). (C) 2001 Published by Elsevier Science B.V. on behalf of IMACS. |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000168935200006 |
出版者 | ELSEVIER SCIENCE BV |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/16223 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Huang, JG |
作者单位 | 1.Shanghai Jiao Tong Univ, Dept Appl Math, Shanghai 200240, Peoples R China 2.Fudan Univ, Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China 3.Fudan Univ, Dept Math, Shanghai 200433, Peoples R China 4.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 5.Nanjing Normal Univ, Dept Math, Nanjing 210097, Peoples R China |
推荐引用方式 GB/T 7714 | Huang, JG,Li, LK,Chen, JR. On mortar-type Morley element method for plate bending problem[J]. APPLIED NUMERICAL MATHEMATICS,2001,37(4):519-533. |
APA | Huang, JG,Li, LK,&Chen, JR.(2001).On mortar-type Morley element method for plate bending problem.APPLIED NUMERICAL MATHEMATICS,37(4),519-533. |
MLA | Huang, JG,et al."On mortar-type Morley element method for plate bending problem".APPLIED NUMERICAL MATHEMATICS 37.4(2001):519-533. |
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