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.
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.
作者
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
基金
supported by the National Natural Science Foundation(Grant No.10371076)
E-Institutes of Shanghai Municipal Education Commission(Grant No.E03004)
The Science Foundation of Shanghai(Grant No.04JC14062).
