Journal article
Numerical analysis of a class of hemivariational inequalities governed by fluid-fluid coupled flow
Nonlinear analysis: real world applications, Vol.85, 104366
10/2025
DOI: 10.1016/j.nonrwa.2025.104366
Abstract
We explore the well-posedness and conduct a numerical analysis of hemivariational inequalities for the coupled stationary Navier–Stokes/Navier–Stokes system. The interface condition involves the Clark subgradient and serves as a generalization of various interface interaction relations, including nonlinear transmission conditions and friction-type conditions. We present an existence and uniqueness result for a solution of the continuous model. We propose a domain decomposition approach to solve the coupled system and examine the convergence of iterations. Moreover, we use the finite element approximation to discretize the hemivariational inequality of the coupled system and derive error estimates, which lead to an optimal order for the P1b/P1 pair under appropriate solution regularity assumptions. Numerical results are reported that illustrate the optimal convergence order predicted by theoretical analysis.
Details
- Title: Subtitle
- Numerical analysis of a class of hemivariational inequalities governed by fluid-fluid coupled flow
- Creators
- Feifei Jing - Northwestern Polytechnical UniversityWeimin Han - Department of Mathematics, University of Iowa, Iowa City, IA 52242, USAGuanyu Zhou - University of Electronic Science and Technology of China
- Resource Type
- Journal article
- Publication Details
- Nonlinear analysis: real world applications, Vol.85, 104366
- Publisher
- Elsevier Ltd
- DOI
- 10.1016/j.nonrwa.2025.104366
- ISSN
- 1468-1218
- eISSN
- 1878-5719
- Grant note
- Simons Foundation Collaboration European Union’s Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie 12371407; 12001413 / National Natural Science Foundation of China D5000230046 / Fundamental Research Funds for the Central Universities of China National Natural Science Foundation of China Natural Science Foundation of Sichuan Province
- Language
- English
- Date published
- 10/2025
- Academic Unit
- Mathematics
- Record Identifier
- 9984799681202771
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