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.
@article{1268404805,
author = {Lebeau, Gilles and Nodet, Ma\"elle},
title = {Experimental Study of the HUM Control Operator for Linear Waves},
journal = {Experiment. Math.},
volume = {19},
number = {1},
year = {2010},
pages = { 93-120},
language = {en},
url = {http://dml.mathdoc.fr/item/1268404805}
}
Lebeau, Gilles; Nodet, Maëlle. Experimental Study of the HUM Control Operator for Linear Waves. Experiment. Math., Tome 19 (2010) no. 1, pp. 93-120. http://gdmltest.u-ga.fr/item/1268404805/