A locking-free Reissner-Mindlin quadrilateral element

نویسندگان

  • Huo-Yuan Duan
  • Guo-Ping Liang
چکیده

On arbitrary regular quadrilaterals, a new finite element method for the Reissner-Mindlin plate is proposed, where both transverse displacement and rotation are approximated by isoparametric bilinear elements, with local bubbles enriching rotation, and a local reduction operator is applied to the shear energy term. This new method gives optimal error bounds, uniform in the thickness of the plate, for both transverse displacement and rotation with respect to H1 and L2 norms.

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عنوان ژورنال:
  • Math. Comput.

دوره 73  شماره 

صفحات  -

تاریخ انتشار 2004