Journal article
Analysis and numerical approximation of doubly-history dependent hemivariational inequalities in contact mechanics
Journal of computational and applied mathematics, Vol.477, 117179
05/2026
DOI: 10.1016/j.cam.2025.117179
Abstract
This paper is devoted to studies of doubly-history dependent hemivariational inequalities in contact mechanics. Existence and uniqueness of a solution to the problem is proved by applying a basic well-posedness result combined with a Banach fixed-point argument. A fully discrete scheme is used to solve the problem, with temporal integrals approximated by rectangular rules and the spatial discretization done by the linear element method. Under suitable solution regularity assumptions, an optimal order error bound is proved for the numerical solutions. Finally, simulation results on a numerical example are reported to illustrate numerical convergence orders.
Details
- Title: Subtitle
- Analysis and numerical approximation of doubly-history dependent hemivariational inequalities in contact mechanics
- Creators
- Wei Xu - Tongji Zhejiang CollegeWenbin Chen - Fudan UniversityWeimin Han - University of IowaYang Liu - Tongji UniversityZiping Huang - Tongji University
- Resource Type
- Journal article
- Publication Details
- Journal of computational and applied mathematics, Vol.477, 117179
- DOI
- 10.1016/j.cam.2025.117179
- ISSN
- 0377-0427
- eISSN
- 1879-1778
- Publisher
- Elsevier
- Language
- English
- Date published
- 05/2026
- Academic Unit
- Mathematics
- Record Identifier
- 9985019037202771
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