Journal article
A Pressure Projection Stabilized Mixed Finite Element Method for a Stokes Hemivariational Inequality
Journal of scientific computing, Vol.92(1), 13
06/02/2022
DOI: 10.1007/s10915-022-01871-2
Abstract
This paper is devoted to the development and analysis of a pressure projection stabilized mixed finite element method, with continuous piecewise linear approximations of velocities and pressures, for solving a hemivariational inequality of the stationary Stokes equations with a nonlinear non-monotone slip boundary condition. We present an existence result for an abstract mixed hemivariational inequality and apply it for a unique solvability analysis of the numerical method for the Stokes hemivariational inequality. An optimal order error estimate is derived for the numerical solution under appropriate solution regularity assumptions. Numerical results are presented to illustrate the theoretical prediction of the convergence order.
Details
- Title: Subtitle
- A Pressure Projection Stabilized Mixed Finite Element Method for a Stokes Hemivariational Inequality
- Creators
- Min Ling - Xi'an Jiaotong UniversityWeimin Han - University of IowaShengda Zeng - Yulin Normal University
- Resource Type
- Journal article
- Publication Details
- Journal of scientific computing, Vol.92(1), 13
- Publisher
- Springer US
- DOI
- 10.1007/s10915-022-01871-2
- ISSN
- 0885-7474
- eISSN
- 1573-7691
- Language
- English
- Date published
- 06/02/2022
- Academic Unit
- Mathematics
- Record Identifier
- 9984262859902771
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