Assessing the quality of the excess chemical potential flux scheme for degenerate semiconductor device simulation

A numerical-analysis-focused comparison of several finite volume schemes for a unipolar degenerate drift-diffusion model

(2020) Clément Cancès et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Generalized Scharfetter–Gummel schemes for electro-thermal transport in degenerate semiconductors using the Kelvin formula for the Seebeck coefficient

(2019) Markus Kantner   JOURNAL OF COMPUTATIONAL PHYSICS

Comparison of thermodynamically consistent charge carrier flux discretizations for Fermi–Dirac and Gauss–Fermi statistics

(2018) Patricio Farrell et al.   OPTICAL AND QUANTUM ELECTRONICS

Computational and analytical comparison of flux discretizations for the semiconductor device equations beyond Boltzmann statistics

(2017) Patricio Farrell et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Existence of bounded discrete steady state solutions of the van Roosbroeck system with monotone Fermi–Dirac statistic functions

(2015) K. Gärtner   Journal of Computational Electronics

Discretization scheme for drift-diffusion equations with strong diffusion enhancement

(2013) Thomas Koprucki et al.   OPTICAL AND QUANTUM ELECTRONICS

A finite volume scheme for convection–diffusion equations with nonlinear diffusion derived from the Scharfetter–Gummel scheme

(2012) Marianne Bessemoulin-Chatard   NUMERISCHE MATHEMATIK