14 citations · 22 across the 7 of their papers we have counts for
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Structure preservation in high-order hybrid discretisations of potential-driven advection-diffusion: linear and nonlinear approaches
Simon Lemaire, Julien Moatti
We are interested in the high-order approximation of anisotropic, potential-driven advection-diffusion models on general polytopal partitions. We study two hybrid schemes, both bui…
Structure-preserving schemes for drift-diffusion systems on general meshes: DDFV vs HFV
Stella Krell, Julien Moatti
We made a comparison between a Discrete Duality Finite Volume (DDFV) scheme and a Hybrid Finite Volume (HFV) scheme for a drift-diffusion model with mixed boundary conditions on ge…
A skeletal high-order structure preserving scheme for advection-diffusion equations
Julien Moatti
We introduce a nonlinear structure preserving high-order scheme for anisotropic advection-diffusion equations. This scheme, based on Hybrid High-Order methods, can handle general m…
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…
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…