Journal article
NUMERICAL ANALYSIS OF ELLIPTIC HEMIVARIATIONAL INEQUALITIES
SIAM journal on numerical analysis, Vol.55(2), pp.640-663
01/01/2017
DOI: 10.1137/16M1072085
Abstract
This paper is devoted to a study of the numerical solution of elliptic hemivariational inequalities with or without convex constraints by the finite element method. For a general family of elliptic hemivariational inequalities that facilitates error analysis for numerical solutions, the solution existence and uniqueness are proved. The Galerkin approximation of the general elliptic hemivariational inequality is shown to converge, and Cea's inequality is derived for error estimation. For various elliptic hemivariational inequalities arising in contact mechanics, we provide error estimates of their numerical solutions, which are of optimal order for the linear finite element method, under appropriate solution regularity assumptions. Numerical examples are reported on using linear elements to solve sample contact problems, and the simulation results are in good agreement with the theoretically predicted linear convergence.
Details
- Title: Subtitle
- NUMERICAL ANALYSIS OF ELLIPTIC HEMIVARIATIONAL INEQUALITIES
- Creators
- Weimin Han - Univ Iowa, Dept Math, Iowa City, IA 52242 USAMircea Sofonea - Univ Perpignan Via Domitia, Lab Math & Phys, F-66860 Perpignan, FranceMikael Barboteu - Univ Perpignan Via Domitia, Lab Math & Phys, F-66860 Perpignan, France
- Resource Type
- Journal article
- Publication Details
- SIAM journal on numerical analysis, Vol.55(2), pp.640-663
- DOI
- 10.1137/16M1072085
- ISSN
- 0036-1429
- eISSN
- 1095-7170
- Publisher
- SIAM PUBLICATIONS
- Number of pages
- 24
- Grant note
- DMS-1521684 / NSF DEC-2012/06/A/ST1/00262 / National Science Center of Poland under the Maestro 3 project
- Language
- English
- Date published
- 01/01/2017
- Academic Unit
- Mathematics
- Record Identifier
- 9984241154702771
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