Spacetime finite element methods for control problems subject to the wave equation
Numerical Analysis
2023-06-13 v1 Numerical Analysis
Optimization and Control
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.
Cite
@article{arxiv.2109.07890,
title = {Spacetime finite element methods for control problems subject to the wave equation},
author = {Erik Burman and Ali Feizmohammadi and Arnaud Munch and Lauri Oksanen},
journal= {arXiv preprint arXiv:2109.07890},
year = {2023}
}