Journal article
Numerical analysis of stationary variational-hemivariational inequalities with applications in contact mechanics
Mathematics and mechanics of solids, Vol.23(3), pp.279-293
03/2018
DOI: 10.1177/1081286517713342
Abstract
This paper is devoted to numerical analysis of general finite element approximations to stationary variational-hemivariational inequalities with or without constraints. The focus is on convergence under minimal solution regularity and error estimation under suitable solution regularity assumptions that cover both internal and external approximations of the stationary variational-hemivariational inequalities. A framework is developed for general variational-hemivariational inequalities, including a convergence result and a Céa type inequality. It is illustrated how to derive optimal order error estimates for linear finite element solutions of sample problems from contact mechanics.
Details
- Title: Subtitle
- Numerical analysis of stationary variational-hemivariational inequalities with applications in contact mechanics
- Creators
- Weimin Han - Xi'an Jiaotong University
- Resource Type
- Journal article
- Publication Details
- Mathematics and mechanics of solids, Vol.23(3), pp.279-293
- Publisher
- SAGE Publications
- DOI
- 10.1177/1081286517713342
- ISSN
- 1081-2865
- eISSN
- 1741-3028
- Language
- English
- Date published
- 03/2018
- Academic Unit
- Mathematics
- Record Identifier
- 9984240875502771
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