Journal article
A Nonconforming Virtual Element Method for a Fourth-order Hemivariational Inequality in Kirchhoff Plate Problem
Journal of scientific computing, Vol.90(3), 89
03/01/2022
DOI: 10.1007/s10915-022-01759-1
Abstract
This paper is devoted to a fourth-order hemivariational inequality for a Kirchhoff plate problem. A solution existence and uniqueness result is proved for the hemivariational inequality through the analysis of a corresponding minimization problem. A nonconforming virtual element method is developed to solve the hemivariational inequality. An optimal order error estimate in a broken H-2-norm is derived for the virtual element solutions 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 used to solve it. Computer simulation results on a numerical example are reported, providing numerical convergence orders that match the theoretical prediction.
Details
- Title: Subtitle
- A Nonconforming Virtual Element Method for a Fourth-order Hemivariational Inequality in Kirchhoff Plate Problem
- 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.90(3), 89
- Publisher
- SPRINGER/PLENUM PUBLISHERS
- DOI
- 10.1007/s10915-022-01759-1
- ISSN
- 0885-7474
- eISSN
- 1573-7691
- Number of pages
- 24
- Grant note
- 850737 / Simons Foundation Collaboration Grants 12071289 / NSFC; National Natural Science Foundation of China (NSFC)
- Language
- English
- Date published
- 03/01/2022
- Academic Unit
- Mathematics
- Record Identifier
- 9984241152602771
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