Bibliography ============= * R. DAUTRAY & J.-L. LIONS et al. Mathematical analysis and numerical calculation for science and technology. Ed. Masson, 1985. * J.-L. LIONS. Some methods of solving problems with non-linear limits. Ed. Dunod, 1969. * P.A. RAVIART & J.M. THOMAS. Introduction to the numerical analysis of partial differential equations. Ed. Masson, 1983. * C. BERNARDI, O. BONNIN, C. LANGOUET & B. METIVET. Residual error indicators for linear problems. Extension to the Navier-Stokes equations. Proc. Int. Conf. Finite Elements in Fluids, Venezia 95, pp 347-356. Note HI72 /95/018 ,1995. * C. BERNARDI, B. METIVET & R. VERFURTH. "Adaptive mesh" working group: numerical analysis of error indicators. Note HI73 /93/062, 1993. * C. BERNARDI & B. METIVET. Error indicator for the heat equation. European Finite Element Review, vol. 9, no. 4, pp425-438, 2000. * R. VERFURTH. A review of a posteriori error estimation and adaptive mesh-refinement techniques. Ed. Wiley & Teubner, 1996. * P. CLEMENT. Approximation by finite element functions using local regularization. RAIRO Numerical analysis, vol. 9, pp77-84, 1975. * I. RUUP & PENIGUEL. Code SYRTHES: conduction and radiation. V3.1 Theoretical Manual. Note HE41 /98/048, 1998. * S. ADJERID & J.E. FLATHERTY. A local refinement finite element method for 2D parabolic systems. SIAM J.Sci.Stat.Comput., 9, pp795-811, 1988. * M. BIETERMAN & I. BABUSKA. The finite element method for parabolic equations, a posteriori error estimation. Number. Math. 40, pp339-371, 1982. * R.E. BIENNER & al. An adaptive finite element method for steady and transient problems. SIAM J.Sci.Stat.Comput., 8, pp529-549, 1987. * F. BORNEMANN. An adaptive multilevel approach to parabolic equations. 3 parts in IMPACT of Comp. In Sci. And Engrg. 2, pp279-317, 1990. 3, pp93-122, 1991. 4, pp1-45, 1992. * K. ERIKSSON & C. JOHNSON. Adaptive finite element methods for parabolic problems. SIAM J.Nume.Anal., 28, pp43-77, 1991. * C. JOHNSON & V. THOMEE. An a posteriori error estimate and adaptive timestep control for a backward Euler discretization of a parabolic problem. SIAM J.Nume.Anal, 27, pp277-291, 1990. * X. DESROCHES. Linear elasticity error estimators. Note HI75 /93/118, 1993. * M. FORTIN et al. Posteriori estimation and mesh adaptation. European review of finite elements. Vol. 9, 4, 2000. * I. BABUSKA & W. RHEINBOLT. A posteriori error estimates for the finite element method. International Journal for Numerical Methods in Engineering, vol. 12, pp.1597-1615, 1978.