Asymptotic preserving schemes in the quasi-neutral limit for the drift-diffusion system

On a Drift–Diffusion System for Semiconductor Devices

Annales Henri Poincaré ◽

10.1007/s00023-016-0493-6 ◽

2016 ◽

Vol 17 (12) ◽

pp. 3473-3498 ◽

Cited By ~ 8

Author(s):

Rafael Granero-Belinchón

Keyword(s):

Semiconductor Devices ◽

Diffusion System ◽

Uniform-in-time bounds for approximate solutions of the drift–diffusion system

Numerische Mathematik ◽

10.1007/s00211-018-01019-1 ◽

2019 ◽

Vol 141 (4) ◽

pp. 881-916

Author(s):

M. Bessemoulin-Chatard ◽

C. Chainais-Hillairet

Keyword(s):

Approximate Solutions ◽

Diffusion System ◽

Drift Diffusion ◽

Time Bounds

High‐order asymptotic‐preserving schemes for linear systems: Application to the Goldstein–Taylor equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22363 ◽

2019 ◽

Vol 35 (4) ◽

pp. 1538-1561

Author(s):

Christophe Chalons ◽

Rodolphe Turpault

Keyword(s):

Linear Systems ◽

High Order ◽

Asymptotic Preserving ◽

Fluid mechanical approximation to the degenerated drift-diffusion system from the compressible Navier-Stokes-Poisson system

Indiana University Mathematics Journal ◽

10.1512/iumj.2013.62.5017 ◽

2013 ◽

Vol 62 (3) ◽

pp. 1021-1054 ◽

Cited By ~ 10

Author(s):

Takayuki Kobayashi ◽

Takayoshi Ogawa

Keyword(s):

Diffusion System ◽

Navier Stokes ◽

Poisson System ◽

On the entropy method and exponential convergence to equilibrium for a recombination–drift–diffusion system with self-consistent potential

Applied Mathematics Letters ◽

10.1016/j.aml.2017.12.017 ◽

2018 ◽

Vol 79 ◽

pp. 196-204 ◽

Cited By ~ 4

Author(s):

Klemens Fellner ◽

Michael Kniely

Keyword(s):

Exponential Convergence ◽

Entropy Method ◽

Diffusion System ◽

Convergence To Equilibrium ◽

Drift Diffusion ◽

Self Consistent

Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows with variable fluid density

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3885 ◽

2014 ◽

Vol 75 (2) ◽

pp. 81-102 ◽

Cited By ~ 4

Author(s):

Thierry Goudon ◽

Shi Jin ◽

Jian-Guo Liu ◽

Bokai Yan

Keyword(s):

Fluid Density ◽

Two Phase Flows ◽

Two Phase ◽

Asymptotic Preserving ◽

Fluid Modeling ◽

Blowup threshold and collapse mass separation for a drift-diffusion system in space-dimension two

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2013.12.2627 ◽

2013 ◽

Vol 12 (6) ◽

pp. 2627-2644 ◽

Cited By ~ 2

Author(s):

Elio E. Espejo ◽

◽

Masaki Kurokiba ◽

Takashi Suzuki ◽

◽

...

Keyword(s):

Space Dimension ◽

Diffusion System ◽

Mass Separation ◽

Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas

Numerische Mathematik ◽

10.1007/s00211-021-01248-x ◽

2021 ◽

Author(s):

Francis Filbet ◽

L. Miguel Rodrigues ◽

Hamed Zakerzadeh

Keyword(s):

Convergence Analysis ◽

Magnetized Plasmas ◽

Asymptotic Preserving ◽

On the Hölder regularity of the weak solution to a drift–diffusion system with pressure

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-018-1438-3 ◽

2018 ◽

Vol 57 (6) ◽

Author(s):

Qianyun Miao ◽

Liutang Xue

Keyword(s):

Weak Solution ◽

Diffusion System ◽

Hölder Regularity ◽

Drift Diffusion ◽

Holder Regularity

On the existence of solutions for a drift-diffusion system arising in corrosion modeling

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2015.20.77 ◽

2015 ◽

Vol 20 (1) ◽

pp. 77-92 ◽

Cited By ~ 2

Author(s):

Claire Chainais-Hillairet ◽

◽

Ingrid Lacroix-Violet ◽

Keyword(s):

Existence Of Solutions ◽

Diffusion System ◽