DÍA / HORA: Martes 7 de abril del 2026 / 17:10 – 17:50

EXPOSITOR: Laurent Seppecher, Ecole Central Lyon, Institut Camille Jordan ICJ UMR CNRS 5208

RESUMEN: Medical elastography is a modern harmless medical imaging modality that aims at imaging the mechanical properties of living tissues to detect pathologies at early stage. Some displacement fields, generated by an external source, are measured inside the body using an auxiliary imaging method (such as ultrasound imaging, MRI, OCT,. . . ). We then face the general inverse problem of recovering an elastic tensor field from some solutions of the linear elastic system of equations. Some recent improvements have been made concerning the analysis of the so-called Reverse Weak Formulation of this problem. I will present theoretical stability results and an efficient approach to discretize this problem. This allows for accurate recovery of anisotropic tensor maps from quasi-static displacements. This approach has been applied with  success to experimental and in vivo data.

IDIOMA: Inglés 

LUGAR: Sala de Seminarios 5to Piso, Departamento de Ingeniería Matemática, FCFM, Universidad de Chile.

DIRECCIÓN: Beauchef 851, Torre Norte, Piso 5, Departamento de Ingeniería Matemática, FCFM, Universidad de Chile.

MODALIDAD: Presencial y transmisión zoom (link zoom seminario online)

DÍA / HORA: Martes 7 de abril del 2026 / 16:30 – 17:10

EXPOSITOR:  Elie Bretin, INSA Lyon Institut Camille Jordan ICJ UMR CNRS 5208

RESUMEN: In this talk, we will focus on the use of neural networks as tools for numerically approximating the solutions of phase field models. These methods are particularly effective for approximating evolving interfaces, such as the mean curvature flow and its famous Allen-Cahn equation. We will explain how to build neural network structures strongly inspired by the numerical schemes of the Allen-Cahn equation in order to exploit them in more complex situations. We are interested, for example, in the case of crystal growth models, where anisotropic diffusion operators increase certain numerical stabilities, or in the case of non-oriented interfaces, for which standard approaches are not suitable. This work was carried out in collaboration with R. Denis, S. Masnou and G. Terii.

IDIOMA: Inglés 

LUGAR: Sala de Seminarios 5to Piso, Departamento de Ingeniería Matemática, FCFM, Universidad de Chile.

DIRECCIÓN: Beauchef 851, Torre Norte, Piso 5, Departamento de Ingeniería Matemática, FCFM, Universidad de Chile.

MODALIDAD: Presencial y transmisión zoom (link zoom seminario online)