Geodesic
Semi-smooth Newton methods for the Signorini problem
Applications of Mathematics, Tome 53 (2008) no. 5, pp. 455-468.

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Semi-smooth Newton methods are analyzed for the Signorini problem. A proper regularization is introduced which guarantees that the semi-smooth Newton method is superlinearly convergent for each regularized problem. Utilizing a shift motivated by an augmented Lagrangian framework, to the regularization term, the solution to each regularized problem is feasible. Convergence of the regularized problems is shown and a report on numerical experiments is given.
DOI : 10.1007/s10492-008-0036-7
Classification : 49K10, 49M15, 49N35, 65H10, 93B11, 93B52
Keywords: Signorini problem; variational inequality; semi-smooth Newton method; primal-dual active set strategy 
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Ito, Kazufumi; Kunisch, Karl. Semi-smooth Newton methods for the Signorini problem. Applications of Mathematics, Tome 53 (2008) no. 5, pp. 455-468. doi : 10.1007/s10492-008-0036-7. http://geodesic.mathdoc.fr/articles/10.1007/s10492-008-0036-7/

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