Advertisement

Approximation of optimal control problems of systems described by boundary-value mixed problems of Dirichlet-Neumann type

  • P. Colli Franzone
Distributed Systems
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3)

Keywords

Optimal Control Problem Approximate Problem Topological Isomorphism Order Elliptic Problem Elliptic Partial Differential Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    AUBIN, J.P. —"Approximations of elliptic boundary-value problems". Wiley — Interscience, vol. XXVI, (1972).Google Scholar
  2. [1]
    BRAMBLE, J.H.—SCHATZ, A.H. —"Least squares methods for 2mth order elliptic boundary-value problems" Math. Comp. vol.25, N. 113, pp. 1–31, (1971).Google Scholar
  3. [1]
    BENSOUSSAN-BOSSAVIT-NEDELEC —"Approximation des problèmes de contrôle" Cahiers de l'I.R.I.A., n.2.Google Scholar
  4. [1]
    COLLI FRANZONE, P. —"Approssimazione mediante il metodo di penalizzazione di problemi misti di Dirichlet-Neumann per operatori lineari ellittici del secondo ordine", to appear on Boll. U.M.I..Google Scholar
  5. [1]
    COLLI FRANZONE, P.—GAZZANIGA, G. —"Sull'analisi numerica del problema misto di Dirichlet-Neumann per equazioni lineari ellittiche del secondo ordine" Pubblicazione N.34 del L.A.N. del C.N.R. di Pavia.Google Scholar
  6. [1]
    LATTES, R.—LIONS, J.L. —"Méthode de quasi réversibilité et applications" Dunod, Paris, (1967).Google Scholar
  7. [1]
    LIONS, J.L. —"Optimal control of systems governed by partial differential equations" Grundlchren B.170, Springer-Berlino, (1971).Google Scholar
  8. [2]
    —"Some aspects of the optimal control of distributed parameter systems" Series in Applied Mathematics, SIAM, vol.6, (1972).Google Scholar
  9. [1]
    LIONS, J.L.—MAGENES, E. —"Non-homogeneous boundary value problems and applications" Grundlchren, B.181, Springer-Berlin, (1971).Google Scholar
  10. [1]
    SHAMIR, E. —"Regularization of mixed second order elliptic problems" Israel J. of Math., 6, pp. 150–168, (1968).Google Scholar
  11. [1]
    VISHIK, I.M.—ESKIN, I.G. —"Elliptic convolution equations in bounded domains and their applications" Uspehi Math.Nauk 22, 1 (133), pp. 15–76, (1967).Google Scholar
  12. [1]
    YVON, J.P. —"Application de la pénalization à la résolution d'un problème de contrôle optimal" Cahier de l'IRIA n.2, (1970).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1973

Authors and Affiliations

  • P. Colli Franzone
    • 1
  1. 1.Laboratorio di Analisi Numerica del C.N.R.PaviaItalia

Personalised recommendations