On numerical solution of hemivariational inequalities by nonsmooth optimization methods
In the paper the authors consider numerical solution of hemivariational inequalities (HVI) by using nonsmooth, nonconvex optimization methods. First, they introduce a finite element approximation of HVI and show that it can be transformed to a problem of finding a substationary point of the corresponding potential function. Then they introduce a proximal bundle method for nonsmooth nonconvex and constrained optimization. Numerical results of a nonmonotone contact problem obtained by the developed methods are also presented.
scientific article; zbMATH DE number 836797
scientific article