18 citations
- Laboratoire Paul PainlevéFR10 papers
- Université de LilleFR5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- CERMICSFR3 papers
- GIPSA-LabFR2 papers
- Institut national de recherche en sciences et technologies du numériqueFR2 papers
- Laboratoire Jacques-Louis LionsFR2 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR1 paper
- École nationale des ponts et chausséesFR1 paper
- École PolytechniqueFR1 paper
- ETH ZurichCH1 paper
- Imperial College LondonGB1 paper
11 papers · 1 filter
Damped energy-norm a posteriori error estimates for fully discrete approximations of the wave equation using C2-reconstructions with the leapfrog scheme
T. Chaumont-Frelet, A. Ern
We derive a posteriori error estimates for the the scalar wave equation discretized in space by continuous finite elements and in time by the explicit leapfrog scheme. Our analysis…
Asymptotically constant-free and polynomial-degree-robust a posteriori error estimates for time-harmonic Maxwell's equations
T. Chaumont-Frelet
We propose a novel a posteriori error estimator for the Nédélec finite element discretization of time-harmonic Maxwell's equations. After the approximation of the electric field is…
Conservative polynomial approximations and applications to Fokker-Planck equations
Tino Laidin, Lorenzo Pareschi
We address the problem of constructing approximations based on orthogonal polynomials that preserve an arbitrary set of moments of a given function without loosing the spectral con…
Discrete Weber inequalities and related Maxwell compactness for hybrid spaces over polyhedral partitions of domains with general topology
Simon Lemaire, Silvano Pitassi
We prove discrete versions of the first and second Weber inequalities on -like hybrid spaces spanned by polynomials…
A structure preserving hybrid finite volume scheme for semi-conductor models with magnetic field on general meshes
Julien Moatti
We are interested in the discretisation of a drift-diffusion system in the framework of hybrid finite volume (HFV) methods on general polygonal/polyhedral meshes. The system under…
Hybrid Kinetic/Fluid numerical method for the Vlasov-BGK equation in the diffusive scaling
Tino Laidin
This paper presents a hybrid numerical method for linear collisional kinetic equations with diffusive scaling. The aim of the method is to reduce the computational cost of kinetic…