Journal article
Numerical approximation of an electro-elastic frictional contact problem modeled by hemivariational inequality
Computational & applied mathematics, Vol.39(4), 265
09/05/2020
DOI: 10.1007/s40314-020-01305-5
Abstract
In this paper, an electro-elastic frictional contact problem is studied numerically as a hemivariational inequality. Convergence of the Galerkin approximation for the hemivariational inequality is proved, and Cea's type inequalities are derived for error estimation. The results are applied to the electro-elastic contact problem, and an optimal order error estimate is deduced for linear element approximation. Finally, two numerical examples are reported, providing numerical evidence of the optimal convergence order theoretically predicted.
Details
- Title: Subtitle
- Numerical approximation of an electro-elastic frictional contact problem modeled by hemivariational inequality
- Creators
- Wei Xu - Tongji UniversityZiping Huang - Tongji UniversityWeimin Han - University of IowaWenbin Chen - Fudan UniversityCheng Wang - Tongji University
- Resource Type
- Journal article
- Publication Details
- Computational & applied mathematics, Vol.39(4), 265
- Publisher
- SPRINGER HEIDELBERG
- DOI
- 10.1007/s40314-020-01305-5
- ISSN
- 2238-3603
- eISSN
- 1807-0302
- Number of pages
- 23
- Grant note
- Haiyan wupu(2018)-001-2 / Tongji Zhejiang College 19JC1420101 / Shanghai Science and technology research program 4260141304/004/010 / 10 plus 10 project of Tongji University Haiyan wupu(2018)-001-2 / Haiyan County Environmental Protection Bureau 11671098 / National Science Foundation of China
- Language
- English
- Date published
- 09/05/2020
- Academic Unit
- Mathematics
- Record Identifier
- 9984241051002771
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