Abstract
In this paper a simplified friction problem and iterative second-order algorithms for its solution are analyzed in infinite dimensional function spaces. Motivated from the dual formulation, a primal-dual active set strategy and a semismooth Newton method for a regularized problem as well as an augmented Lagrangian method for the original problem are presented and their close relation is analyzed. Local as well as global convergence results are given. By means of numerical tests, we discuss among others convergence properties, the dependence on the mesh, and the role of the regularization and illustrate the efficiency of the proposed methodologies.
Original language | English (US) |
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Pages (from-to) | 39-62 |
Number of pages | 24 |
Journal | SIAM Journal on Optimization |
Volume | 15 |
Issue number | 1 |
DOIs | |
State | Published - 2005 |
Keywords
- Augmented Lagrangians
- Friction problem
- Primaldual active set algorithm
- Semismooth Newton method
ASJC Scopus subject areas
- Software
- Theoretical Computer Science
- Applied Mathematics