Efficient methods for solving the Stokes problem with a friction effect simulated by the slip boundary condition are developed. The dual formulation of the problem arising from the finite element approximation leads to the minimization of the strictly quadratic function with few unknowns constrained by simple bounds. Two solution algorithms highly efficient in contact solid mechanics are tested: the active set strategy and the path-following variant of the interior point method. Numerical experiments conclude the paper.

Topics
Friction, Mathematical optimization, Educational assessment, Laminar flows
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