Numerical schemes for semiconductors energy- transport models

Marianne Bessemoulin-Chatard (1) , Claire Chainais-Hillairet (2) , Hélène Mathis (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray
2 RAPSODI - Reliable numerical approximations of dissipative systems

We introduce some finite volume schemes for unipolar energy-transport models. Using a reformulation in dual entropy variables, we can show the decay of a discrete entropy with control of the discrete entropy dissipation.

Mots clés: energy-tranport model; finite volumes; entropy method

Domaines: Analyse numérique [math.NA]

Marianne Bessemoulin-Chatard, Claire Chainais-Hillairet, Hélène Mathis. Numerical schemes for semiconductors energy- transport models. Finite Volumes for Complex Applications IX, Jun 2020, Bergen, Norway. pp. 75-90. ⟨hal-02563093⟩