S'abonner à l'agenda

Séminaire Doctorants

organisé par l'équipe DOCT

  • Killian Vuillemot

    A new unfitted finite element method: $\phi$-FEM

    4 avril 2024 - 16:30Salle de conférences IRMA

    $\phi$-FEM is a new finite element method, proposed to solve partial differential equations on complex domains, using simple non conform meshes. The method relies on the use of a level-set function $\phi$, which defines the domain and its boundary. In this presentation, I will introduce the method in the simple case of the resolution of the Poisson equation with Dirichlet boundary conditions. Then I will present the extension of the method to the case of time-dependent PDE's, and more precisely the case of the Heat equation with Dirichlet boundary conditions. Then, I will present a way to combine $\phi$-FEM and neural networks. This method, called $\phi$-FEM-FNO, has been introduced to achieve the resolution of multiple physics problems with good accuracy in real time. I will illustrate the interest of this approach with numerical results on two test cases solving the Poisson-Dirichlet equation on different types of shapes.
  • Paul Laubie

    TBA

    11 avril 2024 - 16:30Salle de conférences IRMA

  • Jules Bangard

    TBA

    18 avril 2024 - 16:30Salle de conférences IRMA