@article{M2AN_1998__32_6_747_0, author = {Eymard, R. and Gallou\"et, T. and Hilhorst, D. and Na{\"\i}t Slimane, Y.}, title = {Finite volumes and nonlinear diffusion equations}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {747--761}, publisher = {Elsevier}, volume = {32}, number = {6}, year = {1998}, mrnumber = {1652593}, zbl = {0914.65101}, language = {en}, url = {http://archive.numdam.org/item/M2AN_1998__32_6_747_0/} }
TY - JOUR AU - Eymard, R. AU - Gallouët, T. AU - Hilhorst, D. AU - Naït Slimane, Y. TI - Finite volumes and nonlinear diffusion equations JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1998 SP - 747 EP - 761 VL - 32 IS - 6 PB - Elsevier UR - http://archive.numdam.org/item/M2AN_1998__32_6_747_0/ LA - en ID - M2AN_1998__32_6_747_0 ER -
%0 Journal Article %A Eymard, R. %A Gallouët, T. %A Hilhorst, D. %A Naït Slimane, Y. %T Finite volumes and nonlinear diffusion equations %J ESAIM: Modélisation mathématique et analyse numérique %D 1998 %P 747-761 %V 32 %N 6 %I Elsevier %U http://archive.numdam.org/item/M2AN_1998__32_6_747_0/ %G en %F M2AN_1998__32_6_747_0
Eymard, R.; Gallouët, T.; Hilhorst, D.; Naït Slimane, Y. Finite volumes and nonlinear diffusion equations. ESAIM: Modélisation mathématique et analyse numérique, Tome 32 (1998) no. 6, pp. 747-761. http://archive.numdam.org/item/M2AN_1998__32_6_747_0/
[1] On a numerical approach to Stefan-like problems, Numer. Math. 59, 71-89 (1991). | MR | Zbl
, ,[2] A Finite Difference Scheme for Melting Problems, J. Inst. Math. Appl. 13, 353-366 (1974). | MR
[3] Co-volume methods for degenerate parabolic problems, Numer. Math. 64, 45-67 (1993). | MR | Zbl
, ,[4] A Numerical Method for Solving the Problem u1 - Δf(u) = 0, RAIRO Numerical Analysis, Vol. 13, 4, 297-312 (1979). | Numdam | MR | Zbl
, , ,[5] Positivity versus localization in degenerate diffusion equations, Nonlinear Analysis TMA, Vol. 9, 9, 987-1008 (1995). | MR | Zbl
, , ,[6] Analyse numérique d'un problème de Stefan à deux phases par une méthode d'éléments finis, SIAM J. Numer. Anal., 12, 464-488 (1975). IAM J. Numer. Anal., 12, 464-488 (1975). | MR | Zbl
,[7] Disappearing interfaces in nonlinear diffusion, to appear in Advances in Mathematical Sciences and Applications. | MR | Zbl
, , ,[8] An error estimate for a finite volume scheme for a diffusion convection problem on a triangular mesh, Num. Meth. P.D.E., 165-173 (1995). | MR | Zbl
,[9] On the Stefan problem, Mat. Sb. 53(95), 489-514 (1961 in Russian). | MR | Zbl
[10] Linear and Quasilinear Equations of Parabolic Type, Transl. of Math. Monographs, 23 (1968). | MR | Zbl
, , ,[11] The Stefan Problem, Walter de Gruyter Ed., New York (1992). | MR | Zbl
,[12] Multidimensional Stefan Problems, SIAM J. Num. Anal., 10, 522-538 (1973). | MR | Zbl
,[13] Finite Element Methods for Parabolic Free Boundary Problems, Advances in Numerical Analysis, Vol. I: Nonlinear Partial Differential Equations and Dynamical Systems, W. Light ed., Oxford University Press, 34-88 (1991). | MR | Zbl
,[14] A method of solution of the general Stefan Problem, Sov. Math. Dokl. 1, 1350-1354 (1960). | MR | Zbl
,[15] Numerical aspects of parabolic free boundary and hysteresis problems, Phase Transitions and Hysteresis, A. Visinitin ed., Springer-Verlag, 213-284 (1994). | MR | Zbl
,