Title: Numerical models to study the cerebrospinal system Abstract: Recent studies have shown that blood and cerebrospinal fluid flow in the cranial system plays an important role in the the proper functioning of our brain. The complexity of the dynamics of these flows complicates the understanding of certain pathologies. A…
Title: Convergence of adaptive discontinuous Galerkin methods Abstract: Consulting the unprecedented developments of convergence and optimality theory of conforming adaptive finite element methods during the last two decades, the strict Dörfler marking and the resulting reduction of some error quantity appears to be fundamental for most of the results. A…
Title: Simulations of the magnetic cycles of the Sun and solar-type stars Abstract: The Sun sustains its large-scale magnetic field thanks to its internal turbulent motions through a so-called dynamo effect. Global simulations of the convective dynamo of the Sun and solar-type stars have exhibited in the past decade a…
Title: Analysis of the parallel Schwarz method for growing chains of fixed-sized subdomains Abstract: A new class of Schwarz methods was recently presented in the literature for the solution of solvation models, where the electrostatic energy contribution to the solvation energy can be computed by solving a system of elliptic…
Title (in French): Optimisation de procédés pour la production de microalgues Abstract: L’équipe ANGE a un partenariat avec l’équipe INRIA Biocore (Nice) portant sur l’étude de microalgues, avec la perspective de mieux comprendre cette biomasse et ses possibles applications dans le domaine de l’énergie. Ces microalgues peuvent être cultivées sur…
Title: An explicit second order entropic scheme for incompressible Navier-Stokes Abstract: We show how a numerical Mach low limit can be used to construct explicit schemes for incompressible Navier-Stokes equations (artificial compressibility method). A kinetic/flow decomposition approach is used at the compressible approximation level. The resulting scheme satisfies a discrete…
Title: Une méthode de Nitsche pour les problèmes de contact en dynamique Abstract: les problèmes de contact en mécanique des solides font intervenir des contraintes de type inégalités pouvant être traitées avec des multiplicateurs de Lagrange, des inéquations variationnelles ou de la pénalisation par exemple. Dans cet exposé nous adaptons…
Title: Modeling and inverse problems in tumor growth Abstract: Recently, mathematical modeling of cancer started drawing great interest from the medical community. Indeed, developing models able to describe accurately tumor growth may help monitoring the disease evolution or even predicting the efficacy of different therapeutic strategies. Such applications are made…
Title: Least squares methods for high dimensional approximation Abstract: In this paper we present the least-squares method for approaching a function that depends on a high number of parameters. We first go to some results on the stability and approximation error of estimators in the sense of standard and weighted…
Title: Off-the-grid Methods for Sparse Spikes Super-resolution Abstract: In this talk, I study sparse spikes super-resolution over the space of measures (as initiated for instance in [2,3]), in order to solve a wide variety of inverse problems in imaging sciences. For non-degenerate sums of Diracs, we show that, when the…
