A variational approach to a shape design problem for the wave equation

Comptes Rendus Mathematique

Volumn 343, Issue 5, 2006, Pages 371-376

  Münch, Arnaud ^a   Pedregal, Pablo ^b   Periago, Francisco ^c  

^a UNIVERSITÉ DE FRANCHE COMTÉ   (France)

^b UNIVERSITY OF CASTILLA LA MANCHA   (Spain)

^c TECHNICAL UNIVERSITY OF CARTAGENA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33747351749     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2006.07.013     Document Type: Article

References (7)

1. Cox S.J. Designing for optimal energy absorption: the damped wave equation. Int. Ser. Numer. Math. vol. 126 (1998), Birkhäuser 103-109
2. Fahroo F., and Ito K. Variational formulation of optimal damping designs. Contemp. Math. 209 (1997) 95-114
3. Hebrard P., and Henrot A. Optimal shape and position of the actuators for the stabilization of a string. Systems Control Lett. 48 (2003) 199-209
4. A. Münch, Optimal internal stabilization of a damped wave equation by a level set approach, Prépublication du laboratoire de mathématiques de Besançon 01/05, 2005
5. A. Münch, P. Pedregal, F. Periago, Optimal design of the damping set for the stabilization of the wave equation, J. Differential Equations, in press
6. Pedregal P. Parametrized Measures and Variational Principles (1997), Birkhäuser
7. Pedregal P. Vector variational problems and applications to optimal design. ESAIM:COCV 11 (2005) 357-381