Stabilised finite element method for Stokes problem with nonlinear slip condition

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Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2024-09
Major/Subject
Mcode
Degree programme
Language
en
Pages
22
Series
BIT Numerical Mathematics, Volume 64, issue 3
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 representing boundary traction and the stabilised formulation is based on simultaneously stabilising both the pressure and the traction. We establish the stability and the a priori error analyses, and perform a numerical convergence study in order to verify the theory.
Description
Publisher Copyright: © The Author(s) 2024.
Keywords
65N12, 65N30, 76M10, Finite element method, Nonlinear slip condition, Stabilisation, Stokes problem
Other note
Citation
Gustafsson, T & Videman, J 2024, ' Stabilised finite element method for Stokes problem with nonlinear slip condition ', BIT Numerical Mathematics, vol. 64, no. 3, 23 . https://doi.org/10.1007/s10543-024-01025-w