A nonsmooth optimization approach for time-dependent hemivariational inequalities

Clarke, 1983 Haslinger, 1999 Kikuchi, 1988 Miettinen, 1997, Finite element approximation of vector-valued hemivariational problems, J. Global Optim., 10, 17, 10.1023/A:1008234502169 Panagiotopoulos, 1993 Han, 2002 Migórski, 2013, vol. 26 Sofonea, 2018 Wriggers, 2002 Bagirov, 2014 Barboteu, 2013, An analytical and numerical approach to a bilateral contact problem with nonmonotone friction, Int. J. Appl. Math. Comput. Sci., 23, 263, 10.2478/amcs-2013-0020 Barboteu, 2018, On numerical approximation of a variational–hemivariational inequality modeling contact problems for locking materials, Comput. Math. Appl., 77, 898 Han, 2018, Numerical analysis of stationary variational–hemivariational inequalities with applications in contact mechanics, Math. Mech. Solids, 23, 279, 10.1177/1081286517713342 Han, 2014, A class of variational–hemivariational inequalities with applications to frictional contact problems, SIAM J. Math. Anal., 46, 3891, 10.1137/140963248 Han, 2019, Numerical analysis of hemivariational inequalities in contact mechanics, Acta Numer., 28, 175, 10.1017/S0962492919000023 Han, 2017, Numerical analysis of elliptic hemivariational inequalities, SIAM J. Numer. Anal., 55, 640, 10.1137/16M1072085 Han, 2018, Numerical analysis of stationary variational–hemivariational inequalities, Numer. Math., 139, 563, 10.1007/s00211-018-0951-9 Jureczka, 2018, Numerical analysis and simulations of contact problem with wear, Comput. Math. Appl., 77, 2980, 10.1016/j.camwa.2018.08.044 Han, 2022, Numerical analysis of a general elliptic variational–hemivariational inequality, J. Nonlinear Var. Anal., 6, 517 Jureczka, 2021, A nonsmooth optimization approach for hemivariational inequalities with applications in contact mechanics, Appl. Math. Optim., 83, 1465, 10.1007/s00245-019-09593-y Fan, 2003, Generalized monotonicity and convexity of non-differentiable functions, J. Math. Anal. Appl., 279, 276, 10.1016/S0022-247X(03)00009-X