Numerical Analysis of Quasi-Static Unilateral Contact Problems with Local Friction
SIAM Journal on Numerical Analysis
Minimizing quadratic functions with separable quadratic constraints
Optimization Methods & Software
SIAM Journal on Optimization
Optimal Quadratic Programming Algorithms: With Applications to Variational Inequalities
Optimal Quadratic Programming Algorithms: With Applications to Variational Inequalities
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Abstract: This paper deals with the full discretization of quasistatic 3D Signorini problems with local Coulomb friction and a coefficient of friction which may depend on the solution. After a time discretization we obtain a system of static contact problems with Coulomb friction. Each of these problems is solved by the T-FETI domain decomposition method used in auxiliary contact problems with Tresca friction. Numerical experiments show the efficiency of the proposed method.