重调和算子变分不等式的FVI元逼近
The FVI element approximation for the variational inequality with biharmonic operator
摘要
本文讨论了固支薄板弯曲带平均曲率约束型问题的非协调 Fraeijsde Veubeke 元(按文[6],简称为 FVI 元)逼近,证明了其收敛性定理。
In this paper,the FVI element approximation of a kind of clamped thin plate problem with mean curvature constraint is discussed and the convergence is proved.
参考文献2
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1V. Ruas de Barros. Some results on the curved plate bending problem solved with non-conforming finite elements[J] 1978,Calcolo(2):101~120
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2P. G. Ciarlet,P. A. Raviart. General lagrange and hermite interpolation in Rn with applications to finite element methods[J] 1972,Archive for Rational Mechanics and Analysis(3):177~199