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All issues Volume 26 / No 2 (1992) ESAIM: M2AN, 26 2 (1992) 365-383 References
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Issue
ESAIM: M2AN
Volume 26, Number 2, 1992
Page(s) 365 - 383
DOI https://doi.org/10.1051/m2an/1992260203651
Published online 31 January 2017
  1. G. AMIEZ, P. A. GREMAUD, On a numerical approach to Stefan-like problems, Numer. Math., 59 (1991), 71-89. [EuDML: 133540] [MR: 1103754] [Zbl: 0731.65107] [Google Scholar]
  2. A. E. BERGER, H. BREZIS, J. W. C. ROGERS, A numerical method for solving the problem ut - Δƒ(u) = 0, R.A.I.R.O. Model. Math. Anal. Numer. 13, 4 (1979), 297-312. [EuDML: 193344] [MR: 555381] [Zbl: 0426.65052] [Google Scholar]
  3. H. BREZIS, Analyse fonctionnelle, théorie et applications, Masson, Paris, 1983. [MR: 697382] [Zbl: 0511.46001] [Google Scholar]
  4. P. G. CIARLET, The finite element method for elliptic problems, North-Holland, Amsterdam, 1978. [MR: 520174] [Zbl: 0383.65058] [Google Scholar]
  5. P. G. CIARLET, P. A. RAVIART, General Lagrange and Hermite interpolation in Rn with applications to finite element methods, Arch. Rational. Mech. Anal., 46 (1972), 177-199. [MR: 336957] [Zbl: 0243.41004] [Google Scholar]
  6. J. F. CIAVALDINI, Analyse numérique d'un problème de Stefan à deux phases par une méthode d'éléments finis, SIAM, J. Numer. Anal., 12, 3 (1975), 464-488. [MR: 391741] [Zbl: 0272.65101] [Google Scholar]
  7. I. I. DANILYUK, On the Stefan problem, Russian Math. Surveys, 40, 5 (1985),157-223. [MR: 810813] [Zbl: 0604.35080] [Google Scholar]
  8. J. J. DROUX, Three-dimensional numerical simulation of solidification by an improved explicit scheme, to appear in Comput. Methods Appl. Mech. Engrg. [Zbl: 0825.73928] [Google Scholar]
  9. C. M. ELLIOTT, Error analysis of the enthalpy method for the Stefan problem, IMA J. Numer. Anal., 7 (1987), 61-71. [MR: 967835] [Zbl: 0638.65088] [Google Scholar]
  10. A. FRIEDMAN, The Stefan problem in several space variables, Trans. Amer. Math. Soc, 133 (1968), 51-87. [MR: 227625] [Zbl: 0162.41903] [Google Scholar]
  11. W. GENTZSH, Numerical solution oflinear and nonlinear parabolic differential equations by a time discretization of third order accuracy, Proceeding of the Third GAMM, Conference on Numerical Methods in Fluid Mechanics, Notes on Numerical Fluid Mechanics, vol. 2, Vieweg & Sohn, Braunschweig, 109-118, 1979. [Google Scholar]
  12. J. W. JEROME, M. E. ROSE, Error estimates for the multidimensional two-phase Stefan problem, Math, of Comp., 39, 160 (1982), 377-414. [MR: 669635] [Zbl: 0505.65060] [Google Scholar]
  13. S. KAMENOMOSTSKAYA, On the Stefan problem, Mat. Sb., 53 (1961), 489-514. [Zbl: 0102.09301] [Google Scholar]
  14. O. LADYZENSKAYA, V. SOLONNIKOV, N. URAL'CEVA, Linear and quasi-linear equations of parabolic type, Trans. Math. Monographs, A.M.S., 1968. [Zbl: 0174.15403] [Google Scholar]
  15. J. L. LIONS, Quelques méthodes de résolution des problèmes aux limites non linéaires, Gauthier-Villars, Paris, 1969. [MR: 259693] [Zbl: 0189.40603] [Google Scholar]
  16. E. MAGENES, R. H. NOCHETTO, C. VERDI, Energy error estimates for a linear scheme to approximate nonlinear parabolic problems, R.A.I.R.O. Model. Math. Anal. Numér., 21, 4 (1987), 655-678. [EuDML: 193519] [MR: 921832] [Zbl: 0635.65123] [Google Scholar]
  17. R. H. NOCHETTO, Error estimates for two-phase Stefan problems in several space variables I : Linear boundary conditions, Calcolo, 22 (1985), 457-499. [MR: 859087] [Zbl: 0606.65084] [Google Scholar]
  18. R. H. NOCHETTO, Error estimates for two-phase Stefan problems in several space variables II : Nonlinear flux conditions, Calcolo, 22 (1985), 501-534. [MR: 859088] [Zbl: 0606.65085] [Google Scholar]
  19. R. H. NOCHETTO, Error estimates for multidimensional singular parabolic problems, Japan J. Appl. Math., 4 (1987), 111-138. [MR: 899207] [Zbl: 0657.65132] [Google Scholar]
  20. R. H. NOCHETTO, A class of non degenerate two-phase Stefan problems in several space variables, Commun, in Partial Diff. Equ., 12, 1 (1987), 21-45. [MR: 869101] [Zbl: 0624.35085] [Google Scholar]
  21. R. H. NOCHETTO, Numerical methods for free boundary problems, Free Boundary Problems : Theory and Applications, K. H. Hoffmann and J. Sprekels (eds.), Pitman, 1988, to appear. [Google Scholar]
  22. R. H. NOCHETTO, C. VERDI, Approximation of degenerate parabolic problems using numerical integration, SIAM J. Numer. Anal., 25, 4 (1988), 784-814. [MR: 954786] [Zbl: 0655.65131] [Google Scholar]
  23. R. H. NOCHETTO, C. VERDI, An efficient linear scheme to approximate parabolic free boundary problems : error estimates and implementation, Math.Comp., 51 (1988), 27-53. [MR: 942142] [Zbl: 0657.65131] [Google Scholar]
  24. R. H. NOCHETTO, C. VERDI, The combined use of a nonlinear Chernoff formula with a regularization procedure for two-phase Stefan problems, Numer. Funct. Anal. Optim., 9 (1987-88), 1177-1192. [MR: 936337] [Zbl: 0629.35116] [Google Scholar]
  25. P. A. RAVIART, The use of numerical integration infinite element methods for solving parabolic equations, in Topics in Numerical Analysis (J. Miller éd.), Academic Press, London (1973), 233-264. [MR: 345428] [Zbl: 0293.65086] [Google Scholar]
  26. C. VERDI, Linear algorithms for solving Stefan-like problems, Free Boundary Boundary Problems : Theory and Applications, K. H. Hoffmann and. Sprekels (eds.), Pitman, 1988, to appear. [MR: 1081758] [Zbl: 0721.65079] [Google Scholar]

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