Articles

CONTINUOUS FINITE ELEMENT METHODS FOR REISSNER-MINDLIN PLATE PROBLEM

  • Huoyuan DUAN ,
  • Junhua MA
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  • 1. School of Mathematics and Statistics, Collaborative Innovation Centre of Mathematics, Computational Science Hubei Key Laboratory, Wuhan University, Wuhan 430072, China;
    2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received date: 2016-06-17

  Revised date: 2017-01-02

  Online published: 2018-04-25

Supported by

The first author is supported by NSFC (11571266, 91430106, 11171168, 11071132), NSFC-RGC (China-Hong Kong) (11661161017).

Abstract

On triangle or quadrilateral meshes, two finite element methods are proposed for solving the Reissner-Mindlin plate problem either by augmenting the Galerkin formulation or modifying the plate-thickness. In these methods, the transverse displacement is approximated by conforming (bi)linear macroelements or (bi)quadratic elements, and the rotation by conforming (bi)linear elements. The shear stress can be locally computed from transverse displacement and rotation. Uniform in plate thickness, optimal error bounds are obtained for the transverse displacement, rotation, and shear stress in their natural norms. Numerical results are presented to illustrate the theoretical results.

Cite this article

Huoyuan DUAN , Junhua MA . CONTINUOUS FINITE ELEMENT METHODS FOR REISSNER-MINDLIN PLATE PROBLEM[J]. Acta mathematica scientia, Series B, 2018 , 38(2) : 450 -470 . DOI: 10.1016/S0252-9602(18)30760-4

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