Burman, Erik;
Feizmohammadi, Ali;
Münch, Arnaud;
Oksanen, Lauri;
(2023)
Spacetime finite element methods for control problems subject to the wave equation.
ESAIM: Control, Optimisation and Calculus of Variations
, 29
, Article 41. 10.1051/cocv/2023028.
Preview |
Text
cocv210197.pdf - Published Version Download (1MB) | Preview |
Abstract
We consider the null controllability problem for the wave equation, and analyse a stabilized finite element method formulated on a global, unstructured spacetime mesh. We prove error estimates for the approximate control given by the computational method. The proofs are based on the regularity properties of the control given by the Hilbert Uniqueness Method, together with the stability properties of the numerical scheme. Numerical experiments illustrate the results.
| Type: | Article |
|---|---|
| Title: | Spacetime finite element methods for control problems subject to the wave equation |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1051/cocv/2023028 |
| Publisher version: | https://doi.org/10.1051/cocv/2023028 |
| Language: | English |
| Additional information: | This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
| Keywords: | Wave equation, control, finite element method, space time, stabilisation |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10172558 |
Archive Staff Only
 |
View Item |
