Title
On the inexact symmetrized globally convergent semi-smooth Newton method for 3D contact problems with Tresca friction: the R-linear convergence rate
Abstract
The semi-smooth Newton method for solving discretized contact problems with Tresca friction in three-dimensional space is analysed. The slanting function is approximated to get symmetric inner linear systems. The primal-dual algorithm is transformed into the dual one so that the conjugate gradient method can be used. The R-linear convergence rate is proved for an inexact globally convergent variant of the method. Numerical experiments conclude the paper.
Year
DOI
Venue
2020
10.1080/10556788.2018.1556659
OPTIMIZATION METHODS & SOFTWARE
Keywords
DocType
Volume
Contact problem,Tresca friction,semi-smooth Newton method,conjugate gradient method,gradient projection,convergence rate
Journal
35
Issue
ISSN
Citations 
1
1055-6788
0
PageRank 
References 
Authors
0.34
11
4
Name
Order
Citations
PageRank
R. Kučera1608.78
Kristina Motycková220.75
Alexandros Markopoulos3317.16
J. Haslinger400.34