Geometrical aspects of exact boundary controllability for the wave equation - Anumerical study

ESAIM - Control, Optimisation and Calculus of Variations

Volumn 3, Issue , 1998, Pages 163-212

  Asch, M ^a   Lebeau, G ^b  

^a UNIVERSITÉ PARIS SACLAY   (France)

^b ECOLE POLYTECHNIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84996134669     PISSN: 12928119     EISSN: 12623377     Source Type: Journal    
DOI: 10.1051/cocv:1998106     Document Type: Article

References (10)

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2. M. Asch: Control and stabilization of wave propagation problems on complex geometries, in preparation, 1998.
3. M. Asch, B. Vai: Une étude numérique du contrôle exacte du système de l’élasticité linéaire en dimension deux, Technical report 98-05, Laboratoire de Mathématiques, Université Paris-Sud, 1998.
4. C. Bardos, G. Lebeau, J. Rauch: Sharp sufficient conditions for the observation, control and stabilization of waves from the boundary, SIAM Journal of Control and Optimization, 30, 1992, 1024-1065.
5. I. Charpentier, Y. Maday: Idetihcations numériques de contrôles distribués pourl’équation des ondes, C. R. Acad. Sci. Paris Série I, 322, 1996, 779-784.
6. R. Glowinski: Ensuring well-posedness by analogy; Stokes problem and boundary control for the wave equation, Journal of Computational Physics, 103, 1992, 189-221.
7. R. Glowinski, C.-H. Li, J.-L. Lions: A numerical approach to the exact controllability of the wave equation (I) Dirichlet controls: description of the numerical methods, Japan Journal of Applied Mathematics, 7, 1990, 1-76.
8. J.-L. Lions: Controlabilité exacte, perturbations et stabilisation de systèmes distribués, Tome I, Collection RMA, Masson, 1988.
9. S. Micu, E. Zuazua: Boundary controllability of a linear hybrid system arising in the control of noise, SIAM Journal of Control and Optimization, 35, 1997, 1614-1637.
10. W.E. Milne: Numerical solution of differential equations, Dover Publications Inc., 1954.