18 citations · 47 across the 8 of their papers we have counts for
11 papers
A mixed formulation for the direct approximation of -weighted controls for the linear heat equation
Arnaud Münch, Diego A. Souza
This paper deals with the numerical computation of null controls for the linear heat equation. The goal is to compute approximations of controls that drive the solution from a pres…
On the numerical controllability of the two-dimensional heat, Stokes and Navier-Stokes equations
Enrique Fernández-Cara, Arnaud Münch, Diego A. Souza
The aim of this work is to present some strategies to solve numerically controllability problems for the two-dimensional heat equation, the Stokes equations and the Navier-Stokes e…
On the exact boundary controllability of semilinear wave equations
Sue Claret, Jérôme Lemoine, Arnaud Münch
We address the exact boundary controllability of the semilinear wave equation posed over a bounded domain of . Assuming that is c…
Spacetime finite element methods for control problems subject to the wave equation
Erik Burman, Ali Feizmohammadi, Arnaud Munch +1
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 err…
Constructive exact control of semilinear 1D heat equations
Jérôme Lemoine, Arnaud Münch
The exact distributed controllability of the semilinear heat equation posed over multi-dimensional and bounded domains, assuming that $g\in C^1(\m…
Constructive proof of the exact controllability for semi-linear wave equations
Jérôme Lemoine, Arnaud Münch
The exact distributed controllability of the semilinear wave equation posed over multi-dimensional and bounded domains, assuming that $g\in C^1(\…