Journal article
Mixed Finite Element Method for a Hemivariational Inequality of Stationary Navier-Stokes Equations
Journal of scientific computing, Vol.89(1), 8
10/01/2021
DOI: 10.1007/s10915-021-01614-9
Abstract
In this paper, we develop and study the mixed finite element method for a hemivariational inequality of the stationary Navier-Stokes equations (NS hemivariational inequality). The NS hemivariational inequality models the motion of a viscous incompressible fluid in a bounded domain, subject to a nonsmooth and nonconvex slip boundary condition. The incompressibility contraint is treated through a mixed formulation. Solution existence and uniqueness are explored. The mixed finite element method is applied to solve the NS hemivariational inequality and error estimates are derived. Numerical results are reported on the use of the P1b/P1 pair, illustrating the optimal convergence order predicted by the error analysis.
Details
- Title: Subtitle
- Mixed Finite Element Method for a Hemivariational Inequality of Stationary Navier-Stokes Equations
- Creators
- Weimin Han - University of IowaKenneth Czuprynski - University of IowaFeifei Jing - Northwestern Polytechnical University
- Resource Type
- Journal article
- Publication Details
- Journal of scientific computing, Vol.89(1), 8
- Publisher
- SPRINGER/PLENUM PUBLISHERS
- DOI
- 10.1007/s10915-021-01614-9
- ISSN
- 0885-7474
- eISSN
- 1573-7691
- Number of pages
- 22
- Grant note
- 2021M692647 / Postdoctoral Science Foundation of China; China Postdoctoral Science Foundation 12001413 / National Natural Science Foundation of China; National Natural Science Foundation of China (NSFC)
- Language
- English
- Date published
- 10/01/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984241048402771
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