Reissner-Mindlin板问题的组合杂交元方法

COMBINED HYBRID FINITE ELEMENT METHOD FOR THE REISSNER-MINDLIN PLATE MODEL

将求解Reissner Mindlin板问题混合格式的Arnold&Falk元用于求解该问题的组合杂交格式 ,证明了该元满足周天孝给出的假设H1和H2 ,并且相应的能量协调项为零 ,导出了与板厚度一致无关的最优误差估计 。

The author used the Arnold & Falk element to approach the combined hybrid formulation of the Reissner Mindlin plate,and proved that the assumptions H 1 and H 2 are satisfied and the E compatibility is vanishing.The optimal order error estimate uniformly independent of the plate thickness is derived.The author also elaborated the extensive application of the combined hybrid finite element method.