# Geometrical aspects of exact boundary controllability for the wave equation - a numerical study

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 3, page 163-212
- ISSN: 1292-8119

## Access Full Article

top## Abstract

top## How to cite

topAsch, M., and Lebeau, G.. "Geometrical aspects of exact boundary controllability for the wave equation - a numerical study ." ESAIM: Control, Optimisation and Calculus of Variations 3 (2010): 163-212. <http://eudml.org/doc/197292>.

@article{Asch2010,

abstract = {
This essentially numerical study, sets out to investigate various geometrical properties of exact boundary controllability of the wave
equation when the control is applied on a part of the boundary. Relationships between the geometry of the domain, the geometry of
the controlled boundary, the time needed to control and the energy of the control are dealt with. A new norm of the control and an
energetic cost factor are introduced. These quantities enable a detailed appraisal of the numerical solutions obtained and the detection
of trapped rays.
},

author = {Asch, M., Lebeau, G.},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Exact controllability; geometric optics; wave equation; finite differences. },

language = {eng},

month = {3},

pages = {163-212},

publisher = {EDP Sciences},

title = {Geometrical aspects of exact boundary controllability for the wave equation - a numerical study },

url = {http://eudml.org/doc/197292},

volume = {3},

year = {2010},

}

TY - JOUR

AU - Asch, M.

AU - Lebeau, G.

TI - Geometrical aspects of exact boundary controllability for the wave equation - a numerical study

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 3

SP - 163

EP - 212

AB -
This essentially numerical study, sets out to investigate various geometrical properties of exact boundary controllability of the wave
equation when the control is applied on a part of the boundary. Relationships between the geometry of the domain, the geometry of
the controlled boundary, the time needed to control and the energy of the control are dealt with. A new norm of the control and an
energetic cost factor are introduced. These quantities enable a detailed appraisal of the numerical solutions obtained and the detection
of trapped rays.

LA - eng

KW - Exact controllability; geometric optics; wave equation; finite differences.

UR - http://eudml.org/doc/197292

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.