4 papers
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…
Large time behavior of nonlinear finite volume schemes for convection-diffusion equations
Clément Cancès, Claire Chainais-Hillairet, Maxime Herda +1
In this contribution we analyze the large time behavior of a family of nonlinear finite volume schemes for anisotropic convection-diffusion equations set in a bounded bidimensional…
Numerical analysis of a nonlinear free-energy diminishing Discrete Duality Finite Volume scheme for convection diffusion equations
Clément Cancès, Claire Chainais-Hillairet, Stella Krell
We propose a nonlinear Discrete Duality Finite Volume scheme to approximate the solutions of drift diffusion equations. The scheme is built to preserve at the discrete level even o…
A Hybrid High-Order method for the steady incompressible Navier--Stokes problem
Daniele A. Di Pietro, Stella Krell
In this work we introduce and analyze a novel Hybrid High-Order method for the steady incompressible Navier-Stokes equations. The proposed method is inf-sup stable on general polyh…