35 citations · 56 across the 5 of their papers we have counts for
5 papers
phi-FEM for the heat equation: optimal convergence on unfitted meshes in space
Michel Duprez, Vanessa Lleras, Alexei Lozinski +1
Thanks to a finite element method, we solve numerically parabolic partial differential equations on complex domains by avoiding the mesh generation, using a regular background mesh…
Closed-loop neurostimulation in real-time for the treatment of pathological brain rhythms
Thomas Wahl, Michel Duprez, Axel Hutt
Mental disorders may exhibit pathological brain rhythms and neurostimulation promises to alleviate of patients' symptoms by modifying these rhythms. Today, most neurostimulation sc…
Delayed closed-loop neurostimulation for the treatment of pathological brain rhythms in mental disorders
Thomas Wahl, Joséphine Riedinger, Michel Duprez +1
Mental disorders (MD) are among the top most demanding challenges in world-wide health. According to the World Health Organization, the burden of MDs continues to grow with signifi…
Indirect controllability of some linear parabolic systems of m equations with m-1 controls involving coupling terms of zero or first order
Michel Duprez, Pierre Lissy
This paper is devoted to the study of the null and approximate controllability for some classes of linear coupled parabolic systems with less controls than equations. More precisel…
Controllability of a 2x2 parabolic system by one force with a space-dependent coupling term of order one
Michel Duprez
This paper is devoted to the controllability of linear systems of two coupled parabolic equations when the coupling involves a space dependent first order term. This system is set…