RESEARCH ARTICLE

Hybridized weak Galerkin finite element method for linear elasticity problem in mixed form

  • Ruishu WANG 1 ,
  • Xiaoshen WANG 2 ,
  • Kai ZHANG , 1 ,
  • Qian ZHOU 1
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  • 1. School of Mathematics, Jilin University, Changchun 130012, China
  • 2. Department of Mathematics and Statistics, University of Arkansas at Little Rock, Little Rock, AR 72204, US

Received date: 22 Nov 2017

Accepted date: 19 Sep 2018

Published date: 29 Oct 2018

Copyright

2018 Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature

Abstract

A hybridization technique is applied to the weak Galerkin finite element method (WGFEM) for solving the linear elasticity problem in mixed form. An auxiliary function, the Lagrange multiplier defined on the boundary of elements, is introduced in this method. Consequently, the computational costs are much lower than the standard WGFEM. Optimal order error estimates are presented for the approximation scheme. Numerical results are provided to verify the theoretical results.

Cite this article

Ruishu WANG , Xiaoshen WANG , Kai ZHANG , Qian ZHOU . Hybridized weak Galerkin finite element method for linear elasticity problem in mixed form[J]. Frontiers of Mathematics in China, 2018 , 13(5) : 1121 -1140 . DOI: 10.1007/s11464-018-0730-z

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