Journal article
The virtual element method for general elliptic hemivariational inequalities
Journal of computational and applied mathematics, Vol.389, 113330
06/2021
DOI: 10.1016/j.cam.2020.113330
Abstract
An abstract framework of the virtual element method is established for solving general elliptic hemivariational inequalities with or without constraint, and a unified a priori error analysis is given for both cases. Then, virtual element methods of arbitrary order are applied to solve three elliptic hemivariational inequalities arising in contact mechanics, and optimal order error estimates are shown with the linear virtual element solutions. Numerical simulation results are reported in several contact problems; in particular, the numerical convergence orders of the lowest order virtual element solutions are shown to be in good agreement with the theoretical predictions.
Details
- Title: Subtitle
- The virtual element method for general elliptic hemivariational inequalities
- Creators
- Fei Wang - Xi'an Jiaotong UniversityBangmin Wu - Xi'an Jiaotong UniversityWeimin Han - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of computational and applied mathematics, Vol.389, 113330
- Publisher
- Elsevier B.V
- DOI
- 10.1016/j.cam.2020.113330
- ISSN
- 0377-0427
- eISSN
- 1879-1778
- Grant note
- 11771350 / National Natural Science Foundation of China (http://dx.doi.org/10.13039/501100001809)
- Language
- English
- Date published
- 06/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984240872002771
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