Error estimates for Stokes problem with Tresca friction condition

Details Error estimates for Stokes problem with Tresca friction condition Error estimates for Stokes problem with Tresca friction condition

2010-03-17

arxiv.org/abs/1003.3352v1

Mathematics

Numerical Analysis

Scientific paper

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.

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