2019/03/11 by Jureczka, Michal, Ochal, Anna · 2 citations
#35Q74 #49J40 #65K10 #65M60 #74G15 #74M10 #74M15 #74S05 #FOS: Mathematics #Numerical Analysis (math.NA)
paper · doi:10.48550/arxiv.1903.04241
In this paper we introduce an abstract nonsmooth optimization problem and prove existence and uniqueness of its solution. We present a numerical scheme to approximate this solution. The theory is later applied to a sample static contact problem describing an elastic body in frictional contact with a foundation. This contact is governed by a nonmonotone friction law with dependence on normal and tangential components of displacement. Finally, computational simulations are performed to illustrate obtained results.