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
4 papers · 2 filters
Long-time behaviour of hybrid finite volume schemes for advection-diffusion equations: linear and nonlinear approaches
Claire Chainais-Hillairet, Maxime Herda, Simon Lemaire +1
We are interested in the long-time behaviour of approximate solutions to heterogeneous and anisotropic linear advection-diffusion equations in the framework of hybrid finite volume…
Bridging the Multiscale Hybrid-Mixed and Multiscale Hybrid High-Order methods
T. Chaumont-Frelet, A. Ern, S. Lemaire +1
We establish the equivalence between the Multiscale Hybrid-Mixed (MHM) and the Multiscale Hybrid High-Order (MsHHO) methods for a variable diffusion problem with piecewise polynomi…
Moment preserving Fourier-Galerkin spectral methods and application to the Boltzmann equation
Lorenzo Pareschi, Thomas Rey
Spectral methods, thanks to the high accuracy and the possibility of using fast algorithms, represent an effective way to approximate collisional kinetic equations in kinetic theor…
Unconditional bound-preserving and energy-dissipating finite-volume schemes for the Cahn-Hilliard equation
Rafael Bailo, José A. Carrillo, Serafim Kalliadasis +1
We propose finite-volume schemes for the Cahn-Hilliard equation which unconditionally and discretely preserve the boundedness of the phase field and the dissipation of the free ene…