An asymptotic-preserving scheme for the semiconductor Boltzmann equation with two-scale collisions: A splitting approach

Kinetic and Related Models ◽

10.3934/krm.2015.8.707 ◽

2015 ◽

Vol 8 (4) ◽

pp. 707-723 ◽

Author(s):

Jingwei Hu ◽

Shi Jin ◽

Li Wang

Keyword(s):

Boltzmann Equation ◽

Asymptotic Preserving ◽

Semiconductor Boltzmann Equation ◽

Asymptotic Preserving Scheme

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An asymptotic-preserving scheme for the semiconductor Boltzmann equation toward the energy-transport limit

Journal of Computational Physics ◽

10.1016/j.jcp.2014.10.050 ◽

2015 ◽

Vol 281 ◽

pp. 806-824 ◽

Author(s):

Jingwei Hu ◽

Li Wang

Keyword(s):

Boltzmann Equation ◽

Energy Transport ◽

Asymptotic Preserving ◽

Semiconductor Boltzmann Equation ◽

Asymptotic Preserving Scheme

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An asymptotic preserving scheme for the Kac model of the Boltzmann equation in the diffusion limit

Continuum Mechanics and Thermodynamics ◽

10.1007/s00161-009-0116-2 ◽

2009 ◽

Vol 21 (5) ◽

pp. 401-421 ◽

Author(s):

Mounir Bennoune ◽

Mohammed Lemou ◽

Luc Mieussens

Keyword(s):

Boltzmann Equation ◽

Diffusion Limit ◽

Asymptotic Preserving ◽

The Boltzmann Equation ◽

Kac Model ◽

Asymptotic Preserving Scheme

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An Asymptotic Preserving Scheme for the ES-BGK Model of the Boltzmann Equation

Journal of Scientific Computing ◽

10.1007/s10915-010-9394-x ◽

2010 ◽

Vol 46 (2) ◽

pp. 204-224 ◽

Author(s):

Francis Filbet ◽

Shi Jin

Keyword(s):

Boltzmann Equation ◽

Bgk Model ◽

Asymptotic Preserving ◽

The Boltzmann Equation ◽

Asymptotic Preserving Scheme

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Asymptotic-Preserving Numerical Schemes for the Semiconductor Boltzmann Equation Efficient in the High Field Regime

SIAM Journal on Scientific Computing ◽

10.1137/120886534 ◽

2013 ◽

Vol 35 (3) ◽

pp. B799-B819 ◽

Author(s):

Shi Jin ◽

Li Wang

Keyword(s):

Boltzmann Equation ◽

Numerical Schemes ◽

Asymptotic Preserving ◽

Semiconductor Boltzmann Equation

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A BGK-penalization-based asymptotic-preserving scheme for the multispecies Boltzmann equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21746 ◽

2012 ◽

Vol 29 (3) ◽

pp. 1056-1080 ◽

Author(s):

Shi Jin ◽

Qin Li

Keyword(s):

Boltzmann Equation ◽

Asymptotic Preserving ◽

Asymptotic Preserving Scheme

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Asymptotic Preserving Schemes for Semiconductor Boltzmann Equation in the Diffusive Regime

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2012.m1045 ◽

2012 ◽

Vol 5 (2) ◽

pp. 278-296 ◽

Author(s):

Jia Deng

Keyword(s):

Boltzmann Equation ◽

Asymptotic Preserving ◽

Asymptotic Preserving Schemes ◽

Diffusive Regime ◽

Semiconductor Boltzmann Equation

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An Asymptotic-Preserving Stochastic Galerkin Method for the Semiconductor Boltzmann Equation with Random Inputs and Diffusive Scalings

Multiscale Modeling and Simulation ◽

10.1137/15m1053463 ◽

2017 ◽

Vol 15 (1) ◽

pp. 157-183 ◽

Author(s):

Shi Jin ◽

Liu Liu

Keyword(s):

Boltzmann Equation ◽

Galerkin Method ◽

Asymptotic Preserving ◽

Random Inputs ◽

Stochastic Galerkin Method ◽

Semiconductor Boltzmann Equation ◽

Stochastic Galerkin

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A Micro-Macro Decomposition-Based Asymptotic-Preserving Scheme for the Multispecies Boltzmann Equation

SIAM Journal on Scientific Computing ◽

10.1137/090756077 ◽

2010 ◽

Vol 31 (6) ◽

pp. 4580-4606 ◽

Author(s):

Shi Jin ◽

Yingzhe Shi

Keyword(s):

Boltzmann Equation ◽

Asymptotic Preserving ◽

Asymptotic Preserving Scheme

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An asymptotic preserving scheme for hydrodynamics radiative transfer models

Numerische Mathematik ◽

10.1007/s00211-007-0094-x ◽

2007 ◽

Vol 108 (2) ◽

pp. 199-221 ◽

Author(s):

Christophe Buet ◽

Stéphane Cordier

Keyword(s):

Radiative Transfer ◽

Asymptotic Preserving ◽

Radiative Transfer Models ◽

Asymptotic Preserving Scheme ◽

Transfer Models

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Asymptotic analysis of the high field semiconductor Boltzmann equation

Physica A Statistical Mechanics and its Applications ◽

10.1016/0378-4371(94)90479-0 ◽

1994 ◽

Vol 202 (3-4) ◽

pp. 553-576 ◽

Author(s):

P.C. Stichel ◽

D. Strothmann

Keyword(s):

Boltzmann Equation ◽

Asymptotic Analysis ◽

Semiconductor Boltzmann Equation

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