Free Access
Volume 43, Number 1, January-February 2009
Page(s) 33 - 52
Published online 16 October 2008
  1. M. Ainsworth, J.T. Oden and C.Y. Lee, Local a posteriori error estimators for variational inequalities. Numer. Methods Partial Differential Equations 9 (1993) 23–33. [CrossRef] [MathSciNet] [Google Scholar]
  2. F. Ali Mehmeti and S. Nicaise, Nonlinear interaction problems. Nonlinear Anal. Theory Methods Appl. 20 (1993) 27–61. [CrossRef] [Google Scholar]
  3. C. Bernardi, Y. Maday and F. Rapetti, Discrétisations variationnelles de problèmes aux limites elliptiques, Collection Mathématiques & Applications 45. Springer-Verlag (2004). [Google Scholar]
  4. H. Brezis and G. Stampacchia, Sur la régularité de la solution d'inéquations elliptiques. Bull. Soc. Math. France 96 (1968) 153–180. [MathSciNet] [Google Scholar]
  5. F. Brezzi, W.W. Hager and P.-A. Raviart, Error estimates for the finite element solution of variational inequalities, II. Mixed methods. Numer. Math. 31 (1978-1979) 1–16. [Google Scholar]
  6. Z. Chen and R.H. Nochetto, Residual type a posteriori error estimates for elliptic obstacle problems. Numer. Math. 84 (2000) 527–548. [CrossRef] [MathSciNet] [Google Scholar]
  7. P.G. Ciarlet, The Finite Element Method for Elliptic Problems. North Holland, Amsterdam, New York, Oxford (1978). [Google Scholar]
  8. P.G. Ciarlet, Basic error estimates for elliptic problems, in Handbook of Numerical Analysis, Vol. II, P.G. Ciarlet and J.-L. Lions Eds., North-Holland, Amsterdam (1991) 17–351. [Google Scholar]
  9. P. Clément, Approximation by finite element functions using local regularization. RAIRO Anal. Numér. 9 R2 (1975) 77–84. [Google Scholar]
  10. I. Ekeland and R. Temam, Analyse convexe et problèmes variationnels. Dunod & Gauthier-Villars (1974). [Google Scholar]
  11. V. Girault and P.-A. Raviart, Finite Element Methods for Navier-Stokes Equations, Theory and Algorithms. Springer-Verlag (1986). [Google Scholar]
  12. P. Grisvard, Elliptic Problems in Nonsmooth Domains. Pitman (1985). [Google Scholar]
  13. J. Haslinger, I. Hlaváček and J. Nečas, Numerical methods for unilateral problems in solid mechanics, in Handbook of Numerical Analysis, Vol. IV, P.G. Ciarlet and J.-L. Lions Eds., North-Holland, Amsterdam (1996) 313–485. [Google Scholar]
  14. P. Hild and S. Nicaise, Residual a posteriori error estimators for contact problems in elasticity. ESAIM: M2AN 41 (2007) 897–923. [CrossRef] [EDP Sciences] [Google Scholar]
  15. J.-L. Lions and G. Stampacchia, Variational inequalities. Comm. Pure Appl. Math. 20 (1967) 493–519. [CrossRef] [MathSciNet] [Google Scholar]
  16. R.H. Nochetto, K.G. Siebert and A. Veeser, Pointwise a posteriori error control for elliptic obstacle problems. Numer. Math. 95 (2003) 163–195. [CrossRef] [MathSciNet] [Google Scholar]
  17. G. Raugel, Résolution numérique par une méthode d'éléments finis du problème de Dirichlet pour le laplacien dans un polygone. C. R. Acad. Sci. Paris Sér. A-B 286 (1978) A791–A794. [Google Scholar]
  18. L. Slimane, A. Bendali and P. Laborde, Mixed formulations for a class of variational inequalities. ESAIM: M2AN 38 (2004) 177–201. [CrossRef] [EDP Sciences] [MathSciNet] [Google Scholar]
  19. R. Verfürth, A Review of A Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques. Wiley & Teubner (1996). [Google Scholar]
  20. B.I. Wohlmuth, An a posteriori error estimator for two body contact problems on non-matching meshes. J. Sci. Computing 33 (2007) 25–45. [CrossRef] [Google Scholar]

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