Stabilised finite element method for Stokes problem with nonlinear slip condition
Numerical Analysis
2024-05-21 v2 Numerical Analysis
Abstract
This work introduces a stabilised finite element formulation for the Stokes flow problem with a nonlinear slip boundary condition of friction type. The boundary condition is enforced with the help of an additional Lagrange multiplier and the stabilised formulation is based on simultaneously stabilising both the pressure and the Lagrange multiplier. We establish the stability and the a priori error analyses, and perform a numerical convergence study in order to verify the theory.
Cite
@article{arxiv.2308.15182,
title = {Stabilised finite element method for Stokes problem with nonlinear slip condition},
author = {Tom Gustafsson and Juha Videman},
journal= {arXiv preprint arXiv:2308.15182},
year = {2024}
}