Analysis of some stabilized low-order mixed finite element methods for Reissner-Mindlin plates | |
Duan, HY; Liang, GP | |
刊名 | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING |
2001 | |
卷号 | 191期号:3-5页码:157-179 |
关键词 | Reissner-Mindlin plates mixed finite element method |
ISSN号 | 0045-7825 |
英文摘要 | New low-order mixed finite element methods are established for the Reissner-Mindlin plate problem under a clamped boundary condition, employing equal order (bi)linear interpolants for the rotation and the lateral displacement and discontinuous constant (or constant locally enriched by a special function, or linear) interpolant for the shear stress, where two stabilization terms are introduced one of which is used to control the jump of the normal trace of the shear stress across the interelement boundaries and the other is in essence used to control the rotation by modifying the thickness of the plate. When using macro-element for the displacement, the stabilization term pertaining to the jump of the normal trace of the shear stress can be dropped, since the jump can be automatically controlled. It is shown that all these methods are stable and optimal convergent, including in the L-2-norm for the rotation and the displacement, uniform in the thickness of the plate. (C) 2001 Elsevier Science B.V. All rights reserved. |
WOS研究方向 | Engineering ; Mathematics ; Mechanics |
语种 | 英语 |
出版者 | ELSEVIER SCIENCE SA |
WOS记录号 | WOS:000172393800001 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16586] |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Duan, HY |
作者单位 | Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Duan, HY,Liang, GP. Analysis of some stabilized low-order mixed finite element methods for Reissner-Mindlin plates[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2001,191(3-5):157-179. |
APA | Duan, HY,&Liang, GP.(2001).Analysis of some stabilized low-order mixed finite element methods for Reissner-Mindlin plates.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,191(3-5),157-179. |
MLA | Duan, HY,et al."Analysis of some stabilized low-order mixed finite element methods for Reissner-Mindlin plates".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 191.3-5(2001):157-179. |
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