Well-posedness for a class of frictional contact models via mixed variational formulations

Sofonea, 2009 Amdouni, 2012, A stabilized lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies, ESAIM Math. Model. Numer. Anal., 46, 813, 10.1051/m2an/2011072 Hild, 2010, A stabilized Lagrange multiplier method for the finite element approximation of contact problems in elastostatics, Numer. Math., 115, 101, 10.1007/s00211-009-0273-z Hüeber, 2007, Efficient algorithms for problems with friction, SIAM J. Sci. Comput., 29, 70, 10.1137/050634141 Matei, 2018, A mixed variational formulation for a class of contact problems in viscoelasticity, Appl. Anal., 97, 1340, 10.1080/00036811.2017.1359569 Adams, 1975 Brézis, 2010 DiBenedetto, 2002 Evans, 2010, vol. 19 Grisvard, 1985 Monk, 2003 Han, 2002 Sofonea, 2012 Chow, 1989, Finite element error estimates for non-linear elliptic equations of monotone type, Numer. Math., 54, 373, 10.1007/BF01396320 Glowinski, 1975, Sur l’approximation, par éléments finits d’ordre un, et la résolution, par penalisation-dualité d’une classe de problèmes de Dirichlet non linéaires, RAIRO Anal. Numer., 2, 41 Megginson, 1998, 183 Migorski, 2013 Kufner, 1977, Function spaces Matei, 2018, Optimal control for antiplane frictional contact problems involving nonlinearly elastic materials of Hencky type, Math. Mech. Solids, 23, 308, 10.1177/1081286517718605 Nečas, 2012 Marschall, 1987, The trace of Sobolev-Slobodeckij spaces on Lipschitz domains, Manuscr. Math., 58, 47, 10.1007/BF01169082 Matei, 2014, An existence result for a mixed variational problem arising from contact mechanics, Nonlinear Anal. RWA, 20, 74, 10.1016/j.nonrwa.2014.01.010