Alexandre Santos Francisco holds a degree in Mechanical Engineering and a PhD degree in Nuclear Engineering. He is Professor of Fluid Mechanics at the Universidade Federal Fluminense in Brazil. On the next two months he will be a Visiting Professor at the ERC Advanced Grant project DyCon under the supervision of Prof. Enrique Zuazua (FAU, University of Deusto and Universidad Autónoma de Madrid). His main research interests are porous media, computational mathematics, and computational fluid mechanics.
An eulerian-lagrangian scheme for the problem of the inverse design of hyperbolic transport equations
The inverse design of hyperbolic transport equations can be addressed by using gradient-adjoint methodologies. Recently, Morales-Hernandez and Zuazua  investigated the convenience of using low order numerical schemes for the adjoint resolution in the gradient-adjoint method. They focused on hyperbolic transport scalar equations with an heterogeneous time-independent vector field.