A Weak Galerkin Finite Element Method for the Linear Elasticity Problem in Mixed Form
A Weak Galerkin Finite Element Method for the Linear Elasticity Problem in Mixed Form
复制标题
DOI：
10.4208/jcm.1701-m2016-0733
复制
发表时间：
2018-06
影响因子：
0.9
通讯作者：
Rui Zhang
中科院分区：
文献类型：
--
作者：
Rui Zhang
本文采用弱伽辽金（WG）有限元法来求解混合形式线弹性问题。在混合形式中，我们得到了应力张量和位移场的近似离散。对于WG方法，我们在最优多项式逼近空间中定义弱函数和弱微分算子。给出了最优误差估计并给出了数值结果，以证明弱伽辽金有限元方法的效率和准确性。数学科目分类：65N30、65N15、65N12、35J50、74B05。
In this paper, we use the weak Galerkin (WG) finite element method to solve the mixed form linear elasticity problem. In the mixed form, we get the discrete of proximation of the stress tensor and the displacement field. For the WG methods, we define the weak function and the weak differential operator in an optimal polynomial approximation spaces. The optimal error estimates are given and numerical results are presented to demonstrate the efficiency and the accuracy of the weak Galerkin finite element method. Mathematics subject classification: 65N30, 65N15, 65N12, 35J50, 74B05.