UCL Discovery
UCL home » Library Services » Electronic resources » UCL Discovery

A Fully Discrete Numerical Control Method for the Wave Equation

Burman, E; Feizmohammadi, A; Oksanen, L; (2020) A Fully Discrete Numerical Control Method for the Wave Equation. SIAM Journal on Control and Optimization , 58 (3) pp. 1519-1546. 10.1137/19M1249424. Green open access

[img]
Preview
Text
19m1249424.pdf - Published version

Download (458kB) | Preview

Abstract

We present a fully discrete finite element method for the interior null controllability problem subject to the wave equation. For the numerical scheme, piecewise affine continuous elements in space and finite differences in time are considered. We show that if the sharp geometric control condition holds, our numerical scheme yields the optimal rate of convergence with respect to the space-time mesh parameter. The approach is based on the design of stabilization terms for the discrete scheme with the goal of minimizing the computational error.

Type: Article
Title: A Fully Discrete Numerical Control Method for the Wave Equation
Open access status: An open access version is available from UCL Discovery
DOI: 10.1137/19M1249424
Publisher version: https://doi.org/10.1137/19M1249424
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: wave equation, control, numerical analysis, finite element method, stabilization
UCL classification: UCL
UCL > Provost and Vice Provost Offices
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.ucl.ac.uk/id/eprint/10100593
Downloads since deposit
15Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item