Generalized Newton methods for the 2D-Signorini contact problem with friction in function space
Karl Kunisch, Georg Stadler (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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The 2D-Signorini contact problem with Tresca and Coulomb friction is discussed in infinite-dimensional Hilbert spaces. First, the problem with given friction (Tresca friction) is considered. It leads to a constraint non-differentiable minimization problem. By means of the Fenchel duality theorem this problem can be transformed into a constrained minimization involving a smooth functional. A regularization technique for the dual problem motivated by augmented Lagrangians allows...