|   [1] Bank R E,  Xu J. Asymptotically exact a posteriori error estimates, part I: grids with superconvergence. SIAM J Numer Anal, 2003, 41:  2294--2312 
 
[2] Baillet L, Sassi T.  Mixed finite element methods for the Signorini problem with friction. Numer Meth Part Differ Equ, 2006, 22(6): 1489--1508 
 
[3] Belgacem F B.  Numerical simulation of some variational inequalities arisen from unilateral contact problems by the finite element methods. SIAM J Numer Math, 2000, 37: 1198--1216 
 
[4] Belhachmi Z,  Belgacem F B.  Quadratic finite element approximation of the Signorini problem. Math Comp, 2003, 72: 83--104 
 
[5]  Blum H, Rademacher A, Schr\"{o}der A. Space adaptive finite element methods for dynamic Signorini problems. Comput Mech,  2009, 44(4): 481--491 
 
[6]  Brenner S C,  Scott  L R.  The Mathematical Theory of Finite Element Methods. Springer-Verlag, 1994 
 
[7] Brezzi F, Hager  W W, Raviart  P A. Error estimates for the element solution of variational inequalities, Part I, Primal theory. Numer Math, 1977, 28:  431--443 
 
[8]  Ciarlet P G. The Finite Element Method for Elliptic Problems. Amsterdam:  North-Holland, 1978 
 
[9] Duvaut G, Lions J L.  Les Inèquations en Mècanique et en Physique. Paris: Dunod, 1972 
 
[10]  Glowinski R, Lions J L, Trèmolières R. Analyse  Numèriques des Inèquations Variationnelles, Tomes 1. Paris: Dunod, 1976 
 
[11]  Grisvard P. Elliptic Problems in Nonsmooth Domains. Monographs and Studies in Mathematics, 24. London: Pitman, 1985 
 
[12]  Grisvard  P. Singularities in Boundary Value Problems. Springer-Verlag, 1992 
 
[13]  Haslinger J, Hlavàu{c}ek I. Contact between elastic bodies-2, finite element analysis. Aplikace Matematiky, 1981, 26: 263--290 
 
[14]  Haslinger J, Hlaváu{c}ek I, Ne\u{c}as J. Numerical methods for  unilateral problems in solid mechanics//Ciarlet P G, Loins J L, Eds. Handbook of  Numerical Anaysis, Vol 6, Part 2. Amsterdam: North Holland, 1996 
 
[15]  Hua  D Y,  Wang L H. The nonconforming finite element method for Signorini problem. J Comp Math, 2007, 25: 67--80 
 
[16]  H\"{u}eber S, Wohlmuth B I. An optimal a priori error estimate for nonlinear multibody contact problems. SIAM J Numer Math, 2005, 43: 156--173 
 
[17]  Kikuchi N, Oden J T. Contact Problems in Elasticity: A Study  of Varitional Inequalities and Finite Element Methods. Philadelphia: SIAM, 1988 
 
[18]  Kinderlehrer D, Stamppachia G.  An Introduction to Variational Inequalities and Their Applications. New York: Academic Press, 1980 
 
[19]  Lhalouani K, Sassi  T. Noncomforming mixed variational formulation and domain decomposition for unilateral problems.  East West J Numer Math, 1999, 7: 23--30 
 
[20] Li  M X. Some Applications in high accuracy analysis with finite element method[D]. Beijing: Chinese Academy of Science, 2008 
 
[21]  Lin Q, Lin J. Finite Element Methods: Accuracy and Improvement. Beijing: Sicence Press, 2006 
 
[22]  Lin Q, Yan N.  The Construction and Analysis of High Efficient Elements. Shijiazhuang: Hebei University  Press, 1996 (in Chinese) 
 
[23]  Lin Q, Lin J F. High accuracy approximation of mixed finite element for 2d maxwell equations. Acta Math Sci, 2003, 23A(4): 499--503 
 
[24]  Moussaoui M, Khodja  K. Règularitèdes solutions d'un problème mêléDirichlet-Signorini dans un domaine polygonal plan. Commun Part Diff Eq, 1992, 17:   805--826 
 
[25] Scarpini  F, Vivaldi  M A. Error estimates for the approximation of some unilateral problems. RAIRO Modél Math Anal Numer, 1977,  11:  197--208  
 
[26] Sch\"{o}berl J. Solving the signorini problem on the basis of domain decomposition techniques. Comput, 1996, 60: 323--344 
 
[27]  Wang J. Superconvergence and extrapolation for mixed finite element methods on rectangular domains. Math Comp, 1991, 56: 447--503 
 
[28]  Zhang Z. Polynomial preserving recovery for anisotropic and irregular grids. J Comput Math, 2004, 2: 331--340 
 
[29] Zhong Z H. Finite Elememt Procedures for Contact-Impact Problems. London: Oxford University Press, 1993  |