Journal article
C-0 DISCONTINUOUS GALERKIN METHODS FOR A PLATE FRICTIONAL CONTACT PROBLEM
Journal of computational mathematics, Vol.37(2), pp.184-200
01/01/2019
DOI: 10.4208/jcm.1711-m2017-0187
Abstract
Numerous C-0 discontinuous Galerkin (DG) schemes for the Kirchhoff plate bending problem are extended to solve a plate frictional contact problem, which is a fourth-order elliptic variational inequality of the second kind. This variational inequality contains a non-differentiable term due to the frictional contact. We prove that these C-0 DG methods are consistent and stable, and derive optimal order error estimates for the quadratic element. A numerical example is presented to show the performance of the C-0 DG methods; and the numerical convergence orders confirm the theoretical prediction.
Details
- Title: Subtitle
- C-0 DISCONTINUOUS GALERKIN METHODS FOR A PLATE FRICTIONAL CONTACT PROBLEM
- Creators
- Fei Wang - Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R ChinaTianyi Zhang - Univ Iowa, Program Appl Math & Computat Sci, Iowa City, IA 52242 USAWeimin Han - Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
- Resource Type
- Journal article
- Publication Details
- Journal of computational mathematics, Vol.37(2), pp.184-200
- Publisher
- GLOBAL SCIENCE PRESS
- DOI
- 10.4208/jcm.1711-m2017-0187
- ISSN
- 0254-9409
- eISSN
- 1991-7139
- Number of pages
- 17
- Grant note
- 11771350 / National Natural Science Foundation of China DMS-1521684 / NSF
- Language
- English
- Date published
- 01/01/2019
- Academic Unit
- Mathematics
- Record Identifier
- 9984241156402771
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