K. Ito, Department of Mathematics, North Carolina State University, Raleigh, North Carolina, 27695-8205, U.S.A., e-mail: kito@unity.ncsu.edu; K. Kunisch, Institut fur Mathematik und wissenschaftliches Rechnen, Karl-Franzens-Universitat Graz, A-8010 Graz, Austria, e-mail: karl.kunisch@uni-graz.at
Abstract: 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.
Keywords: Signorini problem, variational inequality, semi-smooth Newton method, primal-dual active set strategy
Classification (MSC 2000): 93B11, 93B52, 49N35
Full text available as PDF (smallest), as compressed PostScript (.ps.gz) or as raw PostScript (.ps).
Access to the full text of journal articles on this site is restricted to the subscribers of Myris Trade.
To activate your access, please contact Myris Trade at myris@myris.cz.
Subscribers of Springer need to access the articles on their site, which is http://www.springeronline.com/10492.
