54 citations · 214 across the 28 of their papers we have counts for
4 papers · 1 filter
Minimal time for the continuity equation controlled by a localized perturbation of the velocity vector field
Michel Duprez, Morgan Morancey, Francesco Rossi
In this work, we study the minimal time to steer a given crowd to a desired configuration. The control is a vector field, representing a perturbation of the crowd velocity, localiz…
Finite element method with local damage on the mesh
Michel Duprez, Vanessa Lleras, Alexei Lozinski
We consider the finite element method on locally damaged meshes allowing for some distorted cells which are isolated from one another. In the case of the Poisson equation and piece…
Control of the Grushin equation: non-rectangular control region and minimal time
Michel Duprez, Armand Koenig
This paper is devoted to the study of the internal null-controllability of the Grushin equation. We determine the minimal time of controllability for a large class of non-rectangul…
Quantifying discretization errors for soft-tissue simulation in computer assisted surgery: a preliminary study
Michel Duprez, Stéphane P. A. Bordas, Marek Bucki +7
Errors in biomechanics simulations arise from modeling and discretization. Modeling errors are due to the choice of the mathematical model whilst discretization errors measure the…