Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-26T06:08:23.707Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  15 August 2002

M. Asch  and
G. Lebeau
M. Asch
Affiliation:
([email protected]) 
G. Lebeau
Affiliation:
([email protected])
Get access

Abstract

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

Keywords

Exact controllabilitygeometric opticswave equationfinite differences.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 3 , 1998 , pp. 163 - 212
Copyright
© EDP Sciences, SMAI, 1998

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)