Journal article
The virtual element method for an obstacle problem of a Kirchhoff-Love plate
Communications in nonlinear science & numerical simulation, Vol.103, p.106008
12/2021
DOI: 10.1016/j.cnsns.2021.106008
Abstract
•Both conforming and fully non-conforming VEMs are devised to solve an obstacle problem of Kirchhoff-Love plate.•Optimal order error estimates are derived in the discrete energy norm, under certain solution regularity assumptions.•The primal-dual active algorithm is applied to solve the discrete problems and the numerical results are in agreement with the theoretical analysis.
This paper is devoted to the numerical solution of a fourth-order elliptic variational inequality of the first kind by the virtual element method (VEM). The variational inequality models an obstacle problem for the Kirchhoff-Love plate. Both conforming and fully nonconforming VEMs are studied to solve the fourth-order elliptic variational inequality. Optimal order error estimates are derived in the discrete energy norm, under certain solution regularity assumptions. The primal-dual active algorithm is applied to solve the discrete problems. Numerical examples are reported to show the performance of the numerical methods and to illustrate the convergence orders of the numerical solutions.
Details
- Title: Subtitle
- The virtual element method for an obstacle problem of a Kirchhoff-Love plate
- Creators
- Fang Feng - East China Normal UniversityWeimin Han - University of IowaJianguo Huang - Shanghai Jiao Tong University
- Resource Type
- Journal article
- Publication Details
- Communications in nonlinear science & numerical simulation, Vol.103, p.106008
- Publisher
- Elsevier B.V
- DOI
- 10.1016/j.cnsns.2021.106008
- ISSN
- 1007-5704
- eISSN
- 1878-7274
- Grant note
- DOI: 10.13039/501100012166, name: National Key Research and Development Program of China, award: 2020YFA0709800; DOI: 10.13039/501100001809, name: National Natural Science Foundation of China, award: 12071289; DOI: 10.13039/501100004921, name: Shanghai Jiao Tong University
- Language
- English
- Date published
- 12/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984241147902771
Metrics
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