Journal article
Virtual Element Methods for Elliptic Variational Inequalities of the Second Kind
Journal of scientific computing, Vol.80(1), pp.60-80
07/01/2019
DOI: 10.1007/s10915-019-00929-y
Abstract
This paper is devoted to virtual element methods for solving elliptic variational inequalities (EVIs) of the second kind. First, a general framework is provided for the numerical solution of the EVIs and for its error analysis. Then virtual element methods are applied to solve two representative EVIs: a simplified friction problem and a frictional contact problem. Optimal order error estimates are derived for the virtual element solutions of the two representative EVIs, including the effects of numerical integration for the non-smooth term in the EVIs. A fast solver is introduced to solve the discrete problems. Several numerical examples are included to show the numerical performance of the proposed methods.
Details
- Title: Subtitle
- Virtual Element Methods for Elliptic Variational Inequalities of the Second Kind
- Creators
- Fang Feng - Shanghai Jiao Tong UniversityWeimin Han - University of IowaJianguo Huang - Shanghai Jiao Tong University
- Resource Type
- Journal article
- Publication Details
- Journal of scientific computing, Vol.80(1), pp.60-80
- Publisher
- SPRINGER/PLENUM PUBLISHERS
- DOI
- 10.1007/s10915-019-00929-y
- ISSN
- 0885-7474
- eISSN
- 1573-7691
- Number of pages
- 21
- Grant note
- DMS-1521684 / NSF 11571237 / NSFC
- Language
- English
- Date published
- 07/01/2019
- Academic Unit
- Mathematics
- Record Identifier
- 9984241055602771
Metrics
17 Record Views