Titre: A semi-implicit numerical scheme based on moving Voronoi cells Résumé In this talk, I will explain how moving Voronoi grids can be used in computational fluid dynamics. Following the papers of Bruno Després [1] and Volker Springel [2], we pursue a method for compressible Navier-Stokes equations that is as…
Titre: Explicit local time-stepping methods for wave propagation Résumé Adaptivity and mesh refinement are certainly key for the efficient numerical simulation of wave phenomena in complex geometry. Locally refined meshes, however, severely constrain the time-step of any explicit time-marching scheme due to the CFL stability condition governed by the smallest…
Titre : Unique continuation for the wave equation: The stability landscape Résumé : Inverse and ill-posed problems subject to the wave equation occur in a variety of applications ranging from seismology to medicine. Among these problems, the task of unique continuation is perhaps one of the simplest: Given measurements of…
