Free Access
Volume 31, Number 1, 1997
Page(s) 91 - 120
Published online 31 January 2017
  1. T. ARGOGAST, M. F. WHEELER and N. Y. ZHANG, A nonlinear mixed finite element method for a degenerate parabolic equation arising in flow in porous media, SIAM J. Numer. Anal, (to appear). [MR: 1403565] [Zbl: 0856.76033]
  2. C. BAIOCCHI, 1989, Discretization of evolution inequalities, in Partial Differential Equations and the Calculus of Variations, F. Colombini, A. Marino, M. Modica and S. Spagnolo eds, Birkäuser, Boston, pp. 59-92. [MR: 1034002] [Zbl: 0677.65068]
  3. J. W. BARRETT and P. KNABNER, Finite element approximation of transport of reactive solutes in porous media. Part 2 : Error estimates for equilibrium adsorption processes (to appear). [Zbl: 0904.76039]
  4. H. BREZIS, 1971, Monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations, in Contributions to Nonlinear Functional Analysis, E. Zarantonello ed., Academic Press, New York, pp. 101-156. [MR: 394323] [Zbl: 0278.47033]
  5. M. G. CRANDALL and T. M. LIGGETT, 1971, Generation of semi-groups of nonlinear transformations on general Banach spaces, Amer. J. Math., 93,pp. 265-298. [MR: 287357] [Zbl: 0226.47038]
  6. X. JIANG and R. H. NOCHETTO, A P1-P1 finite element method for a phase relaxation model. Part I : Quasi-uniform mesh (to appear). [MR: 1619875] [Zbl: 0972.65067]
  7. E. MAGENES, R. H. NOCHETTO and C. VERDI, 1987, Energy error estimates for a linear scheme to approximate nonlinear parabolic problems, RAIRO Model. Math. Anal. Numer., 21, pp, 655-678. [EuDML: 193519] [MR: 921832] [Zbl: 0635.65123]
  8. R. H. NOCHETTO, 1987, Error estimates for multidimensional singular parabolic problems, Japan J. Appl Math., 4, pp.111-138. [MR: 899207] [Zbl: 0657.65132]
  9. R. H. NOCHETTO, 1991, Finite element methods for parabolic free boundary problems, in Advances in Numerical Analysis, Vol I: Nonlinear Partial Differential Equations and Dynamical Systems, W. Light ed., 1990 Lancaster Summer School Proceedings, Oxford University Press, pp. 34-88. [MR: 1138471] [Zbl: 0733.65089]
  10. R. H. NOCHETTO, M. PAOLINI and C. VERDI, 1994, Continuous and semidiscrete travelling waves for a phase relaxation model, European J. Appl. Math, 5, pp. 177-199. [MR: 1285038] [Zbl: 0812.35166]
  11. R. H. NOCHETTO and C. VERDI, 1988, Approximation of degenerate parabolic problems using numerical integration, SIAM J. Numer. Anal., 25, pp. 784-814. [MR: 954786] [Zbl: 0655.65131]
  12. J. RULLA, 1996, Error analysis for implicit approximations to solutions to Cauchy problems, SIAM J. Numer. Anal., 33, pp. 68-87. [MR: 1377244] [Zbl: 0855.65102]
  13. G. SAVARE, Weak solutions and maximal regularity for abstract evolution inequalities (to appear). [MR: 1411975] [Zbl: 0858.35073]
  14. C. VERDI, 1994, Numerical aspects of parabolic free boundary and hysteresis problems, in Phase Transitions and Hysteresis Phenomena, A. Vismtin (ed.). Springer-Verlag, Berlin, pp. 213-284. [MR: 1321834] [Zbl: 0819.35155]
  15. C. VERDI and A. VISINTIN, 1987, Numerical analysis of the multidimensional Stefan problem with supercooling and superheating, Boll Unione Mat. Ital. I-B, 7, pp. 795-814. [MR: 916294] [Zbl: 0629.65130]
  16. C. VERDI and A. VISINTIN, 1988, Error estimates for a semi-explicit numerical scheme for Stefan-type problems, Numer. Math. 52, pp. 165-185. [EuDML: 133231] [MR: 923709] [Zbl: 0617.65125]
  17. A. VISINTIN, 1985, Stefan problem with phase relaxation, IMA J. Appl. Math., 34,p. 225-245. [MR: 804824] [Zbl: 0585.35053]
  18. A. VISINTIN, 1985, Supercooling and superheating effects in phase transitions,IMA J. Appl. Math., 35, pp 233-256. [MR: 839201] [Zbl: 0615.35090]

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