275 citations
- Centre National de la Recherche ScientifiqueFR262 papers
- Lyon 1 UniversitéFR185 papers
- Institut National des Sciences Appliquées de LyonFR136 papers
- Laboratoire de Mécanique des Fluides et d'AcoustiqueFR117 papers
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12 papers · 1 filter
A Characteristic Mapping Method with Source Terms: Applications to Ideal Magnetohydrodynamics
Xi-Yuan Yin, Philipp Krah, Jean-Christophe Nave +1
This work introduces a generalized characteristic mapping method designed to handle non-linear advection with source terms. The semi-Lagrangian approach advances the flow map, inco…
A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties
Philipp Krah, Xi-Yuan Yin, Julius Bergmann +2
We propose an efficient semi-Lagrangian characteristic mapping method for solving the one+one-dimensional Vlasov-Poisson equations with high precision on a coarse grid. The flow ma…
A penalized Allen-Cahn equation for the mean curvature flow of thin structures
Elie Bretin, Chih-Kang Huang, Simon Masnou
This paper addresses the approximation of the mean curvature flow of thin structures for which classical phase field methods are not suitable. By thin structures, we mean surfaces…
Exact recovery of the support of piecewise constant images via total variation regularization
Yohann De Castro, Vincent Duval, Romain Petit
This work is concerned with the recovery of piecewise constant images from noisy linear measurements. We study the noise robustness of a variational reconstruction method, which is…
Variational convergence of the Scharfetter-Gummel scheme to the aggregation-diffusion equation and vanishing diffusion limit
Anastasiia Hraivoronska, André Schlichting, Oliver Tse
In this paper, we explore the convergence of the semi-discrete Scharfetter-Gummel scheme for the aggregation-diffusion equation using a variational approach. Our investigation invo…
Layer stripping approach to reconstruct shape defects in waveguides using locally resonant frequencies
Angèle Niclas, Laurent Seppecher
This article present a new method to reconstruct slowly varying width defects in 2D waveguides using one-side section measurements at locally resonant frequencies. At these frequen…