Open Access
Translator Disclaimer
2010 Experimental Study of the HUM Control Operator for Linear Waves
Gilles Lebeau, Maëlle Nodet
Experiment. Math. 19(1): 93-120 (2010).

Abstract

We consider the problem of the numerical approximation of the linear controllability of waves. All our experiments are done in a bounded domain $\Omega$ of the plane, with Dirichlet boundary conditions and internal control. We use a Galerkin approximation of the optimal control operator of the continuous model, based on the spectral theory of the Laplace operator in $\Omega$. This allows us to obtain surprisingly good illustrations of the main theoretical results available on the controllability of waves and to formulate some questions for future analysis of the optimal control theory of waves.

Citation

Download Citation

Gilles Lebeau. Maëlle Nodet. "Experimental Study of the HUM Control Operator for Linear Waves." Experiment. Math. 19 (1) 93 - 120, 2010.

Information

Published: 2010
First available in Project Euclid: 12 March 2010

zbMATH: 1190.35011
MathSciNet: MR2649987

Subjects:
Primary: 35A27 , 35B37 , 35L05 , 65-05

Keywords: experimental mathematics , microlocal analysis , numerical analysis , optimal control , partial differential equations

Rights: Copyright © 2010 A K Peters, Ltd.

JOURNAL ARTICLE
28 PAGES


SHARE
Vol.19 • No. 1 • 2010
Back to Top