L'approche «continue » pour une méthode de volumes finis;The "continuous" approach for a finite volume method

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 332, Issue 5, 2001, Pages 477-482

  Andreianov, Boris P ^a   Gutnic, Michaël ^b   Wittbold, Petra ^b  

^a UNIVERSITÉ DE FRANCHE COMTÉ   (France)

^b UNIVERSITÉ LOUIS PASTEUR   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347139202     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(00)01830-9     Document Type: Article

References (10)

1. Alt H.W., Luckhaus S. Quasilinear elliptic-parabolic differential equations. Math. Z. 183:(3):1983;311-341.
2. Andreianov B., Bénilan Ph., Elliptic-parabolic problems: existence and continuity with respect to the data of weak solutions (en préparation).
3. Andreianov B., Gutnic M., Wittbold P., Convergence of finite volume approximations for a nonlinear elliptic-parabolic problem: a variational approach (en préparation).
4. Bénilan Ph., Wittbold P. On mild and weak solutions of elliptic-parabolic equations. Adv. Differ. Eq. 1:(6):1996;1053-1073.
5. Diaz J.I., De Thélin F. A nonlinear parabolic problem arising in some models related to turbulent flows. SIAM J. Math. Anal. 25:(4):1994;1085-1111.
6. Eymard R., Gallouët T., Herbin R. Finite volume methods. Ciarlet P.G., Lions J.-L. Handbook of Numerical Analysis. VII:2000;Elsevier.
7. Eymard R., Gutnic M., Hilhorst D. The finite volume method for an elliptic-parabolic equation. Acta Math. Univ. Comenian. (N.S.). 67:(1):1998;181-195.
8. Kruzhkov S.N. Results concerning the nature of the continuity of solutions of parabolic equations and some of their applications. Math. Notes. 6:(1):1969;517-523.
9. Lions J.-L. Quelques méthodes de résolution des problèmes aux limites non linéaires. 1969;Dunod, Paris.
10. 1 -Contraction and uniqueness for quasilinear elliptic-parabolic problems. J. Differ. Eq. 131:(1):1996;20-38.