{
  "id": "2307.10911",
  "version": "v1",
  "published": "2023-07-20T14:32:16.000Z",
  "updated": "2023-07-20T14:32:16.000Z",
  "title": "Structure-preserving schemes for drift-diffusion systems on general meshes: DDFV vs HFV",
  "authors": [
    "Stella Krell",
    "Julien Moatti"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-20T14:32:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general meshes",
      "drift-diffusion systems",
      "structure-preserving schemes",
      "discrete duality finite volume",
      "hybrid finite volume"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}