Journal article
The Virtual Element Method for an Elliptic Hemivariational Inequality with Convex Constraint
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, Vol.14(3), pp.589-612
08/01/2021
DOI: 10.4208/nmtma.OA-2020-0180
Abstract
An abstract framework of numerical method is devised for solving an elliptic hemivariational inequality with convex constraint. Convergence of the method is explored under the minimal solution regularity available from the well-posedness of the hemivariational inequality. A Cea-type inequality is derived for error estimation. As a typical example, a virtual element method is proposed to solve a frictionless unilateral contact problem and its optimal error estimates are obtained as well. Numerical results are reported to show the performance of the proposed method.
Details
- Title: Subtitle
- The Virtual Element Method for an Elliptic Hemivariational Inequality with Convex Constraint
- Creators
- Fang Feng - Shanghai Jiao Tong UniversityWeimin Han - Univ Iowa, Dept Math, Iowa City, IA 52242 USAJianguo Huang - Shanghai Jiao Tong University
- Resource Type
- Journal article
- Publication Details
- NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, Vol.14(3), pp.589-612
- DOI
- 10.4208/nmtma.OA-2020-0180
- ISSN
- 1004-8979
- eISSN
- 2079-7338
- Publisher
- GLOBAL SCIENCE PRESS
- Number of pages
- 24
- Grant note
- 201906230068 / China Scholarship Council; China Scholarship Council 2020YFA0709800 / National Key Research and Development Project 12071289 / NSFC; National Natural Science Foundation of China (NSFC)
- Language
- English
- Date published
- 08/01/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984241159702771
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