A survey of numerical methods for hemivariational inequalities with applications to Contact Mechanics

Autor:	Ochal, Anna, Jureczka, Michal, Bartman, Piotr
Rok vydání:	2021
Předmět:	Mathematics - Optimization and Control Mathematics - Numerical Analysis 35Q74 49J40 65K10 65M60 74S05 74M15 74M10 74G15
Druh dokumentu:	Working Paper
DOI:	10.1016/j.cnsns.2022.106563
Popis:	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
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2103.14518 Zobrazit plný text záznamu View this record from Arxiv