arXiv Analytics

Sign in

arXiv:2307.10911 [math.NA]AbstractReferencesReviewsResources

Structure-preserving schemes for drift-diffusion systems on general meshes: DDFV vs HFV

Stella Krell, Julien Moatti

Published 2023-07-20Version 1

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 general meshes. Both schemes are based on a nonlinear discretisation of the convection-diffusion fluxes, which ensures the positivity of the discrete densities. We investigate the behaviours of the schemes on various numerical test cases.

Categories: math.NA, cs.NA
Related articles: Most relevant | Search more
arXiv:0812.2097 [math.NA] (Published 2008-12-11)
A unified approach to Mimetic Finite Difference, Hybrid Finite Volume and Mixed Finite Volume methods
arXiv:1411.0098 [math.NA] (Published 2014-11-01)
A discontinuous-skeletal method for advection-diffusion-reaction on general meshes
arXiv:2208.07705 [math.NA] (Published 2022-08-16)
An algebraically stabilized method for convection-diffusion-reaction problems with optimal experimental convergence rates on general meshes

Links

Toolbox