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| Finite element analysis for general elastic multi-structures | |
| 引用本文： | HUANG Jianguo,SHI Zhongci & XU Yifeng Department of Mathematics,Shanghai Jiao long University,Shanghai 200240,China, Division of Computational Science,E-lnstitute of Shanghai Universities,Shanghai Normal University,Shanghai 200234,China, Institute of Computational Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,China, Department of Mathematics,Chinese University of Hong Kong,Shatin,N. T.,Hong Kong,China. Finite element analysis for general elastic multi-structures[J]. 中国科学A辑(英文版), 2006, 49(1): 109-129. DOI: 10.1007/s11425-005-0118-x |
| 作者姓名： | HUANG Jianguo SHI Zhongci & XU Yifeng Department of Mathematics Shanghai Jiao long University Shanghai 200240 China Division of Computational Science E-lnstitute of Shanghai Universities Shanghai Normal University Shanghai 200234 China Institute of Computational Mathematics Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100080 China Department of Mathematics Chinese University of Hong Kong Shatin N. T. Hong Kong China |
| 作者单位： | HUANG Jianguo，SHI Zhongci & XU Yifeng Department of Mathematics，Shanghai Jiao long University，Shanghai 200240，China; Division of Computational Science，E-lnstitute of Shanghai Universities，Shanghai Normal University，Shanghai 200234，China; Institute of Computational Mathematics，Academy of Mathematics and Systems Science，Chinese Academy of Sciences，Beijing 100080，China; Department of Mathematics，Chinese University of Hong Kong，Shatin，N. T.，Hong Kong，China |
| 摘 要： | A finite element method is introduced to solve the general elastic multi-structure problem, in which the displacements on bodies, the longitudinal displacements on plates and the longitudinal displacements on beams are discretized using conforming linear elements, the rotational angles on beams are discretized using conforming elements of second order, the transverse displacements on plates and beams are discretized by the Morley elements and the Hermite elements of third order, respectively. The generalized Korn's inequality is established on related nonconforming element spaces, which implies the unique solvability of the finite element method. Finally, the optimal error estimate in the energy norm is derived for the method. |
| 收稿时间： | 2005-04-19 |
| 修稿时间： | 2005-08-14 |
Finite element analysis for general elastic multi-structures |
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| HUANG Jianguo,SHI Zhongci,XU Yifeng. Finite element analysis for general elastic multi-structures[J]. Science in China(Mathematics), 2006, 49(1): 109-129. DOI: 10.1007/s11425-005-0118-x | |
| Authors: | HUANG Jianguo SHI Zhongci XU Yifeng |
| Affiliation: | 1. Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China;Division of Computational Science, E-Institute of Shanghai Universities, Shanghai Normal University, Shanghai 200234, China 2. Institute of Computational Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China 3. Department of Mathematics, Chinese University of Hong Kong, Shatin, N. T., Hong Kong, China |
| Abstract: | A finite element method is introduced to solve the general elastic multi-structure problem, in which the displacements on bodies, the longitudinal displacements on plates and the longitudinal displacements on beams are discretized using conforming linear elements, the rotational angles on beams are discretized using conforming elements of second order, the transverse displacements on plates and beams are discretized by the Morley elements and the Hermite elements of third order, respectively. The generalized Korn's inequality is established on related nonconforming element spaces, which implies the unique solvability of the finite element method. Finally, the optimal error estimate in the energy norm is derived for the method. |
| Keywords: | elastic multi-structures finite elements generalized Korn's inequality unique solvability error estimates |
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