Mathematics of Computation

Author(s): Huo-Yuan Duan; Guo-Ping Liang.
Journal: Math. Comp. 73 (2004), 1655-1671.
MSC (2000): Primary 65N30
Posted: November 24, 2003
Retrieve article in: PDF DVI PostScript

Abstract: 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

and

norms.

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Huo-Yuan Duan
Affiliation: Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, Peoples Republic of China
Email: dhymath@yahoo.com.cn, hyduan@lsec.cc.ac.cn

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