[Adams, R. (1975). Sobolev Spaces, Academic Press, New York, NY/London.]Search in Google Scholar
[Belhachmi, Z., Sac-EpéeAe, J.-M. and Sokolowski, J. (2005). Mixed finite element methods for smooth domain formulation of crack problems, SIAM Journal on Numerical Analysis 43(3): 1295-1320.10.1137/S0036142903429729]Search in Google Scholar
[Ben Belgacem, F. and Brenner, S. (2001). Some nonstandard finite element estimates with applications to 3D Poisson and Signorini problems, Electronic Transactions on Numerical Analysis 12: 134-148.]Search in Google Scholar
[Ben Belgacem, F., Hild, P. and Laborde, P. (1999). Extension of the mortar finite element method to a variational inequality modeling unilateral contact, Mathematical Models and Methods in the Applied Sciences 9(2): 287-303.10.1142/S0218202599000154]Search in Google Scholar
[Ben Belgacem, F. and Renard, Y. (2003). Hybrid finite element methods for the Signorini problem, Mathematics of Computation 72(243): 1117-1145.10.1090/S0025-5718-03-01490-X]Search in Google Scholar
[Bernardi, C. and Girault, V. (1998). A local regularisation operator for triangular and quadrilateral finite elements, SIAM Journal on Numerical Analysis 35(5): 1893-1916.10.1137/S0036142995293766]Search in Google Scholar
[Brenner, S. and Scott, L. (2002). The Mathematical Theory of Finite Element Methods, Springer-Verlag, New York, NY.10.1007/978-1-4757-3658-8]Search in Google Scholar
[Chen, Z. and Nochetto, R. (2000). Residual type a posteriori error estimates for elliptic obstacle problems, Numerische Mathematik 84(4): 527-548.10.1007/s002110050009]Search in Google Scholar
[Ciarlet, P. (1991). The finite element method for elliptic problems, in P.G. Ciarlet and J.-L. Lions (Eds.), Handbook of Numerical Analysis, Vol. II, Part 1, North Holland, Amsterdam, pp. 17-352.]Search in Google Scholar
[CléeAment, P. (1975). Approximation by finite element functions using local regularization, RAIRO ModéeAlisation MathéeAmatique et Analyse NuméeArique 2(R-2): 77-84.10.1051/m2an/197509R200771]Search in Google Scholar
[Coorevits, P., Hild, P., Lhalouani, K. and Sassi, T. (2002). Mixed finite element methods for unilateral problems: Convergence analysis and numerical studies, Mathematics of Computation 71(237): 1-25.10.1090/S0025-5718-01-01318-7]Search in Google Scholar
[Duvaut, G. and Lions, J.-L. (1972). Les inéeAquations en méeAcanique et en physique Dunod, Paris.]Search in Google Scholar
[Eck, C., Jarušek, J. and Krbec, M. (2005). Unilateral Contact Problems. Variational Methods and Existence Theorems, CRC Press, Boca Raton, FL.10.1201/9781420027365]Search in Google Scholar
[Fichera, G. (1964). Elastic problems with unilateral constraints, the problem of ambiguous boundary conditions, Memorie della Accademia Nazionale dei Lincei 8(7): 91-140, (in Italian).]Search in Google Scholar
[Fichera, G. (1974). Existence theorems in linear and semilinear elasticity, Zeitschrift féuUr Angewandte Mathematik und Mechanik 54(12): 24-36.10.1002/zamm.19740541205]Search in Google Scholar
[Grisvard, P. (1985). Elliptic Problems in Nonsmooth Domains, Pitman, Boston, MA.]Search in Google Scholar
[Han, W. and Sofonea, M. (2002). Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity, American Mathematical Society, Providence, RI.10.1090/amsip/030]Search in Google Scholar
[Haslinger, J., HlavéaAček, I. and Nečas, J. (1996). Numerical methods for unilateral problems in solid mechanics, in P. Ciarlet and J.-L. Lions (Eds.), Handbook of Numerical Analysis, Vol. IV, Part 2, North Holland, Amsterdam, pp. 313-485.10.1016/S1570-8659(96)80005-6]Search in Google Scholar
[Hilbert, S. (1973). A mollifier useful for approximations in Sobolev spaces and some applications to approximating solutions of differential equations, Mathematics of Computation 27: 81-89.10.1090/S0025-5718-1973-0331715-3]Search in Google Scholar
[Hild, P. (2000). Numerical implementation of two nonconforming finite element methods for unilateral contact, Computer Methods in Applied Mechanics and Engineering 184(1): 99-123.10.1016/S0045-7825(99)00096-1]Search in Google Scholar
[Hild, P. (2002). On finite element uniqueness studies for Coulomb's frictional contact model, International Journal of Applied Mathematics and Computer Science 12(1): 41-50.10.1016/S0168-9274(01)00124-6]Search in Google Scholar
[Hild, P. and Nicaise, S. (2007). Residual a posteriori error estimators for contact problems in elasticity, Mathematical Modelling and Numerical Analysis 41(5): 897-923.10.1051/m2an:2007045]Search in Google Scholar
[Hiriart-Urruty, J.-B. and LemaréeAchal, C. (1993). Convex Analysis and Minimization Algorithms I, Springer, Berlin.10.1007/978-3-662-02796-7]Search in Google Scholar
[HéuUeber, S. and Wohlmuth, B. (2005a). An optimal error estimate for nonlinear contact problems, SIAM Journal on Numerical Analysis 43(1): 156-173.10.1137/S0036142903436678]Search in Google Scholar
[HéuUeber, S. and Wohlmuth, B. (2005b). A primal-dual active set strategy for non-linear multibody contact problems, Computer Methods in Applied Mechanics and Engineering 194(27-29): 3147-3166.10.1016/j.cma.2004.08.006]Search in Google Scholar
[Khludnev, A. and Sokolowski, J. (2004). Smooth domain method for crack problems, Quarterly of Applied Mathematics 62(3): 401-422.10.1090/qam/2086037]Search in Google Scholar
[Kikuchi, N. and Oden, J. (1988). Contact Problems in Elasticity, SIAM, Philadelphia, PA.10.1137/1.9781611970845]Search in Google Scholar
[Laursen, T. (2002). Computational Contact and Impact Mechanics, Springer, Berlin.10.1007/978-3-662-04864-1]Search in Google Scholar
[Nochetto, R. and Wahlbin, L. (2002). Positivity preserving finite element approximation, Mathematics of Computation 71(240): 1405-1419.10.1090/S0025-5718-01-01369-2]Search in Google Scholar
[Scott, L. and Zhang, S. (1990). Finite element interpolation of nonsmooth functions satisfying boundary conditions, Mathematics of Computation 54(190): 483-493.10.1090/S0025-5718-1990-1011446-7]Search in Google Scholar
[Strang, G. (1972). Approximation in the finite element method, Numerische Mathematik 19: 81-98.10.1007/BF01395933]Search in Google Scholar
[Wohlmuth, B. and Krause, R. (2003). Monotone multigrid methods on nonmatching grids for nonlinear multibody contact problems, SIAM Journal on Scientific Computation 25(1): 324-347.10.1137/S1064827502405318]Search in Google Scholar
[Wriggers, P. (2002). Computational Contact Mechanics, Wiley, Chichester.]Search in Google Scholar