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  1. Article

    Open Access

    Importance of satisfying thermodynamic consistency in optoelectronic device simulations for high carrier densities

    We show the importance of using a thermodynamically consistent flux discretization when describing drift–diffusion processes within light emitting diode simulations. Using the classical Scharfetter–Gummel sche...

    Patricio Farrell, Julien Moatti, Michael O’Donovan… in Optical and Quantum Electronics (2023)

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  2. No Access

    Chapter and Conference Paper

    Structure-Preserving Schemes for Drift-Diffusion Systems on General Meshes: DDFV Versus HFV

    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 ar...

    Stella Krell, Julien Moatti in Finite Volumes for Complex Applications X—… (2023)

  3. No Access

    Chapter and Conference Paper

    A Skeletal High-Order Structure Preserving Scheme for Advection-Diffusion Equations

    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 meshes. It also has an entropy...

    Julien Moatti in Finite Volumes for Complex Applications X—… (2023)

  4. No Access

    Article

    Long-time behaviour of hybrid finite volume schemes for advection–diffusion equations: linear and nonlinear approaches

    We are interested in the long-time behaviour of approximate solutions to anisotropic and heterogeneous linear advection–diffusion equations in the framework of hybrid finite volume methods on general polygonal...

    Claire Chainais-Hillairet, Maxime Herda, Simon Lemaire… in Numerische Mathematik (2022)