Spacetime finite element methods for control problems subject to the wave equation

• Published in: ESAIM. Control, optimisation and calculus of variations Vol. 29; p. 41
• Main Authors: Burman, Erik, Feizmohammadi, Ali, Münch, Arnaud, Oksanen, Lauri
• Format: Journal Article
• Language: English
• Published: 2023

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 prope...