Year: 2018
Author: Ruishu Wang, Ran Zhang
Journal of Computational Mathematics, Vol. 36 (2018), Iss. 4 : pp. 469–491
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1701-m2016-0733
Journal of Computational Mathematics, Vol. 36 (2018), Iss. 4 : pp. 469–491
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Linear elasticity mixed form Korn's inequality weak Galerkin finite element method.