Stabilised finite element method for Stokes problem with nonlinear slip condition
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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en
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22
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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.
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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