Journal article
On a Stokes hemivariational inequality for incompressible fluid flows with damping
Nonlinear analysis: real world applications, Vol.79, 104131
10/2024
DOI: 10.1016/j.nonrwa.2024.104131
Abstract
In this paper, a Stokes hemivariational inequality is studied for incompressible fluid flows with the damping effect. The hemivariational inequality feature is caused by the presence of a nonsmooth slip boundary condition of friction type. Well-posedness of the Stokes hemivariational inequality is established through the consideration of a minimization problem. Mixed finite element methods are introduced to solve the Stokes hemivariational inequality and error estimates are derived for the mixed finite element solutions. The error estimates are of optimal order for low-order mixed element pairs under suitable solution regularity assumptions. An efficient iterative algorithm is introduced to solve the mixed finite element system. Numerical results are reported on the performance of the proposed algorithm and the numerical convergence orders of the finite element solutions.
Details
- Title: Subtitle
- On a Stokes hemivariational inequality for incompressible fluid flows with damping
- Creators
- Weimin Han - Department of Mathematics, University of Iowa, Iowa City, IA 52242-1410, USAHailong Qiu - Yancheng Institute of TechnologyLiquan Mei - Xi'an Jiaotong University
- Resource Type
- Journal article
- Publication Details
- Nonlinear analysis: real world applications, Vol.79, 104131
- Publisher
- Elsevier Ltd
- DOI
- 10.1016/j.nonrwa.2024.104131
- ISSN
- 1468-1218
- eISSN
- 1878-5719
- Grant note
- 11701498 / Natural Science Foundation of China 12171385 / Natural Science Foundation of China 850737 / Simons Foundation Collaboration Grants 823731–CONMECH / European Union’s Horizon 2020 Research and Innovation Programme under the Marie Skodowska-Curie
- Language
- English
- Date published
- 10/2024
- Academic Unit
- Mathematics
- Record Identifier
- 9984622887002771
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