Journal article
Numerical analysis of doubly-history dependent variational inequalities in contact mechanics
Fixed point theory and algorithms for sciences and engineering, Vol.2021(1), pp.1-21
12/13/2021
DOI: 10.1186/s13663-021-00710-7
Abstract
This paper is devoted to numerical analysis of doubly-history dependent variational inequalities in contact mechanics. A fully discrete method is introduced for the variational inequalities, in which the doubly-history dependent operator is approximated by repeated left endpoint rule and the spatial variable is approximated by the linear element method. An optimal order error estimate is derived under appropriate solution regularities, and numerical examples illustrate the convergence orders of the method.
Details
- Title: Subtitle
- Numerical analysis of doubly-history dependent variational inequalities in contact mechanics
- Creators
- Wei Xu - Tongji Zhejiang CollegeCheng Wang - Intel (United States)Mingyan He - Hangzhou Dianzi UniversityWenbin Chen - AOL (United States)Weimin Han - University of IowaZiping Huang - Intel (United States)
- Resource Type
- Journal article
- Publication Details
- Fixed point theory and algorithms for sciences and engineering, Vol.2021(1), pp.1-21
- DOI
- 10.1186/s13663-021-00710-7
- ISSN
- 1687-1820
- eISSN
- 2730-5422
- Publisher
- Springer International Publishing
- Grant note
- 12071090 / National Natural Science Foundation of China (http://dx.doi.org/10.13039/501100001809)
- Language
- English
- Date published
- 12/13/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984240866202771
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