LOWER ORDER RECTANGULAR NONCONFORMING MIXED FINITE ELEMENT FOR THE THREE-DIMENSIONAL ELASTICITY PROBLEM
LOWER ORDER RECTANGULAR NONCONFORMING MIXED FINITE ELEMENT FOR THE THREE-DIMENSIONAL ELASTICITY PROBLEM
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DOI：
10.1142/s0218202509003358
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发表时间：
2009
影响因子：
3.5
通讯作者：
Hongying Man;Jun-Jue Hu;Zhongci Shi
中科院分区：
文献类型：
--
作者：
Hongying Man;Jun-Jue Hu;Zhongci Shi
本文从三维弹性力学问题的Hellinger-Reissner变分原理出发，提出了一种应力-位移系统的一阶矩形单元。我们表明，该计划的离散inf-sup条件。基于相容误差的超收敛性，我们证明了$\mathcal{O}（h）$对位移和应力的最优误差估计。
In this paper, we propose a first-order rectangular nonconforming element for the stress-displacement system derived from the Hellinger–Reissner variational principle for the three-dimensional elasticity problem. We show that the discrete inf–sup condition holds for this scheme. Based on some superconvergence of the consistency error, we prove the optimal error estimate of $\mathcal{O}(h)$ for both the displacement and stress.