TY - JOUR
T1 - A Weak Galerkin Finite Element Method for the Linear Elasticity Problem in Mixed Form
AU - Wang , Ruishu
AU - Zhang , Ran
JO - Journal of Computational Mathematics
VL - 4
SP - 469
EP - 491
PY - 2018
DA - 2018/06
SN - 36
DO - http://doi.org/10.4208/jcm.1701-m2016-0733
UR - https://global-sci.org/intro/article_detail/jcm/12301.html
KW - Linear elasticity, mixed form, Korn's inequality, weak Galerkin finite element method.
AB - <p style="text-align: justify;">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.</p>