Journal article
Virtual Element Method for an Elliptic Hemivariational Inequality with Applications to Contact Mechanics
Journal of scientific computing, Vol.81(3), pp.2388-2412
12/01/2019
DOI: 10.1007/s10915-019-01090-2
Abstract
This paper is on the numerical solution of an elliptic hemivariational inequality by the virtual element method. We introduce an abstract framework of the numerical method and provide an error analysis. We then apply the virtual element method to solve two contact problems: a bilateral contact problem with friction and a frictionless normal compliance contact problem. Error estimates of their numerical solutions are derived, which are of optimal order for the linear virtual element method, under appropriate solution regularity assumptions. The discrete problem can be formulated as an optimization problem for a difference of two convex (DC) functions, and a convergent algorithm is introduced to solve it. Numerical examples are reported to show the performance of the proposed methods.
Details
- Title: Subtitle
- Virtual Element Method for an Elliptic Hemivariational Inequality with Applications to Contact Mechanics
- 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.81(3), pp.2388-2412
- Publisher
- SPRINGER/PLENUM PUBLISHERS
- DOI
- 10.1007/s10915-019-01090-2
- ISSN
- 0885-7474
- eISSN
- 1573-7691
- Number of pages
- 25
- Grant note
- name: NSF, award: DMS-1521684; DOI: 10.13039/501100001809, name: NSFC, award: 11571237
- Language
- English
- Date published
- 12/01/2019
- Academic Unit
- Mathematics
- Record Identifier
- 9984240869602771
Metrics
3 Record Views