Free Access
Issue |
ESAIM: M2AN
Volume 35, Number 4, July-August 2001
|
|
---|---|---|
Page(s) | 749 - 765 | |
DOI | https://doi.org/10.1051/m2an:2001134 | |
Published online | 15 April 2002 |
- A. Friedman, The Stefan problem in several space variables. Trans. Amer. Math. Soc. 132 (1968) 51-87. [CrossRef] [Google Scholar]
- A.E. Berger, H. Brezis and J.C.W. Rogers, A numerical method for solving ut - Δƒ(u) = 0. RAIRO. Anal. Numér. 13 (1979) 297-312. [Google Scholar]
- C.M. Elliott, Error analysis of the enthalpy method for the Stefan problem. IMA J. Numer. Anal. 7 (1987) 61-71. [CrossRef] [MathSciNet] [Google Scholar]
- S.R. De Groot and P. Mazur, Non-equilibrium thermodynamics. North-Holland, Amsterdam (1962). [Google Scholar]
- H. Brezis, Analyse fonctionnelle, Théorie et applications. Masson, Paris (1993). [Google Scholar]
- H.W. Alt and S. Luckhaus, Quasilinear elliptic-parabolic differential equations. Math. Z. 183 (1983) 311-341. [CrossRef] [MathSciNet] [Google Scholar]
- I. Prigogine, Thermodynamics of irreversible processes. Interscience Publ. (1967). [Google Scholar]
- J.D.P. Donnelly, A model for non-equilibrium thermodynamic processes involving phase changes. J. Inst. Math. Appl. 24 (1979) 425-438. [CrossRef] [MathSciNet] [Google Scholar]
- J.F. Ciavaldini, Analyse numérique d'un problème de Stefan à deux phases par une méthode d'éléments finis. SIAM J. Numer. Anal. 12 (1975) 464-487. [CrossRef] [MathSciNet] [Google Scholar]
- J.W. Jerome and M.E. Rose, Error estimates for the multidimensional two-phase Stefan problem. Math. Comp. 39 (1982) 377-414. [CrossRef] [MathSciNet] [Google Scholar]
- K. Yosida, Functional Analysis. Springer-Verlag, Berlin (1984). [Google Scholar]
- E. Magenes, Remarques sur l'approximation des problèmes paraboliques non-linéaires, in Analyse Mathématique et Applications, Gauthier-Villars, Paris (1988) 297-318. [Google Scholar]
- E. Magenes, R.H. Nochetto and C. Verdi, Energy error estimates for a linear scheme to approximate nonlinear parabolic problems. RAIRO. Modèl. Math. Anal. Numér. 21 (1987) 655-678. [MathSciNet] [Google Scholar]
- M. Crouzeix and A.L. Mignot, Analyse numérique des équations différentielles. Masson (1989). [Google Scholar]
- G.H. Meyer, Multidimensional Stefan problems. SIAM J. Numer. Anal. 10 (1973) 522-538. [CrossRef] [MathSciNet] [Google Scholar]
- O. Krüger, Modélisation et analyse numérique de problèmes de réaction-diffusion provenant de la solidification d'alliages binaires. Technical Report 2071, Thèse EPFL (1999). [Google Scholar]
- P. Grisvard, Elliptic Problems in Nonsmooth Domains. Pitman, Boston (1985). [Google Scholar]
- M. Paolini, G. Sacchi and C. Verdi, Finite element approximations of singular parabolic problems. Internat. J. Numer. Methods Engrg. 26 (1988) 1989-2007. [CrossRef] [MathSciNet] [Google Scholar]
- P.G. Ciarlet, The Finite Element Method for Elliptic Problem. North Holland, Amsterdam (1978). [Google Scholar]
- J. Rulla, Error analysis for implicit approximations to Cauchy problems. SIAM J. Numer. Anal. 33 (1996) 68-87. [CrossRef] [MathSciNet] [Google Scholar]
- V. Thomée, Galerkin finite element methods for Parabolic Problems. Springer-Verlag, Berlin (1984). [Google Scholar]
- W. Jäger and J. Kačur, Solution of doubly nonlinear and degenerate parabolic problems by relaxation schemes. RAIRO. Modèl. Math. Anal. Numér. 29 (1995) 605-627. [Google Scholar]
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.