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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
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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.

Author Details

Ruishu Wang

Ran Zhang

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