Error estimates for Stokes problem with Tresca friction condition
Numerical Analysis
2019-02-20 v1
Abstract
In this work we propose and study a three field mixed formulation for solving the Stokes problem with Tresca-type non-linear boundary conditions. Two Lagrange multipliers are used to enforce div(u)=0 constraint and to regularize the energy functional. The resulting problem is discretised using "P1 bubble/P1-P1" finite elements. Error estimates are derived and several numerical studies are achieved.
Cite
@article{arxiv.1003.3352,
title = {Error estimates for Stokes problem with Tresca friction condition},
author = {Ayadi Mekki and Gdoura Mohamed Khaled and Sassi Taoufik},
journal= {arXiv preprint arXiv:1003.3352},
year = {2019}
}