A survey of numerical methods for hemivariational inequalities with applications to Contact Mechanics
- Resource Type
- Working Paper
- Authors
- Ochal, Anna; Jureczka, Michal; Bartman, Piotr
- Source
- Subject
- Mathematics - Optimization and Control
Mathematics - Numerical Analysis
35Q74, 49J40, 65K10, 65M60, 74S05, 74M15, 74M10, 74G15
- Language
In this paper we present an abstract nonsmooth optimization problem for which we recall existence and uniqueness results. We show a numerical scheme to approximate its solution. The theory is later applied to a sample static contact problem describing an elastic body in frictional contact with a foundation. This problem leads to a hemivariational inequality which we solve numerically. Finally, we compare three computational methods of solving contact mechanical problems: direct optimization method, augmented Lagrangian method and primal-dual active set strategy.
Comment: 21 pages, 5 figures. arXiv admin note: text overlap with arXiv:1903.04241