Resolution numérique du problème des surfaces minima

1. Cea, J., Glowinski, R., & Nedelec, J.C., Minimisation de fonctionelles non différentiables. Conferences on Applications of Numérical Analysis (Dundee, March 1971). Lecture Notes in Mathematics N∘ 128. Berlin Heidelberg New York: Springer 1971.

   Google Scholar 

2. Concus, P., Numerical solution of Plateau's problem. Math. Comp. 21, 340–350 (1967).

   Google Scholar 

3. Ekeland R. & Temam, R., Analyse convexe et problèmes variationnels. Paris: Dunod 1973.

   Google Scholar 

4. Gagliardo, E., Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in n variabili. Rend. Sem. Mat. Padova 27, 287–305 (1957).

   Google Scholar 

5. Jenkins, H., & Serrin, J., The Dirichlet problem for the minimal surface equation in highter dimensions. J. Reine Ang. Math. 229, 170–187 (1968).

   Google Scholar 

6. Lichnewsky, A., Principe du maximum local et solutions généralisées de problèmes du type hypersurfaces minima. Thèse 3^ème cycle, Université Paris-Sud, 1973.

7. Lions, J.L., & Magenes, E., Problèmes aux limites non homogènes et applications. Paris: Dunod 1968.

   Google Scholar 

8. Miranda, M., Boundaries of Caccioppoli sets in the calculus of variations. C.I.M.E. 1972. Geometric measure theory and minimal surfaces. Edizioni Cremonese Roma 1973.

   Google Scholar 

9. Nitsche, J. C. C., On new results in the theory of minimal surface. Bull. Amer. Math. Soc. 71, 195–270 (1965).

   Google Scholar 

10. Nitsche, J. C. C., On the non solvability of Dirichlet's problem for the minimal surface equations. J. Math. Mech. 14, 779–788 (1965).

    Google Scholar 

11. Raviart, P.A., Méthode des éléments finis. Cours de 3^ème cycle 1971–1972, Université Paris VI, 1973.

12. Rockafellar, R.T., Duality and stability in extremum problems involving convex functions. PAC. J. Math. 21, 167–187 (1967).

    Google Scholar 

13. Schechter, Iteration methods for non linear problems. Trans. Amer. Math. Soc. 104, 179–189 (1962).

    Google Scholar 

14. Temam, R., Solutions généralisées de certaines équations du type hypersurfaces minima. Arch. Rational Mech. Analy. 44, 121–156 (1971).

    Google Scholar 

15. Temam, R., On the theory and numerical analysis of the Navier-Stokes equations. Lecture Note. University of Maryland, 1973.

16. Vanende, Résolution d'un problème de surface minima par une méthode d'éléments finis. Thèse 3^ème cycle, Université Paris VI, 1972.

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