Discontinuous Galerkin Solver for the Semiconductor Boltzmann Equation

Simulation of Semiconductor Processes and Devices 2007 ◽

10.1007/978-3-211-72861-1_61 ◽

2007 ◽

pp. 257-260 ◽

Author(s):

Yingda Cheng ◽

Irene M. Gamba ◽

Armando Majorana ◽

Chi-Wang Shu

Keyword(s):

Boltzmann Equation ◽

Discontinuous Galerkin ◽

Semiconductor Boltzmann Equation

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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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A Conservative Discontinuous Galerkin Solver for the Space Homogeneous Boltzmann Equation for Binary Interactions

SIAM Journal on Numerical Analysis ◽

10.1137/16m1104792 ◽

2018 ◽

Vol 56 (5) ◽

pp. 3040-3070 ◽

Author(s):

Chenglong Zhang ◽

Irene M. Gamba

Keyword(s):

Boltzmann Equation ◽

Discontinuous Galerkin ◽

Homogeneous Boltzmann Equation

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Implicit Discontinuous Galerkin Method for the Boltzmann Equation

Journal of Scientific Computing ◽

10.1007/s10915-020-01139-7 ◽

2020 ◽

Vol 82 (2) ◽

Author(s):

Wei Su ◽

Peng Wang ◽

Yonghao Zhang ◽

Lei Wu

Keyword(s):

Boltzmann Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

The Boltzmann Equation

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Deterministic solution of the spatially homogeneous Boltzmann equation using discontinuous Galerkin discretizations in the velocity space

Journal of Computational Physics ◽

10.1016/j.jcp.2014.03.031 ◽

2014 ◽

Vol 272 ◽

pp. 170-188 ◽

Author(s):

A. Alekseenko ◽

E. Josyula

Keyword(s):

Boltzmann Equation ◽

Discontinuous Galerkin ◽

Velocity Space ◽

Homogeneous Boltzmann Equation ◽

Deterministic Solution ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

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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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Uniform spectral convergence of the stochastic Galerkin method for the linear semiconductor Boltzmann equation with random inputs and diffusive scaling

Kinetic and Related Models ◽

10.3934/krm.2018044 ◽

2018 ◽

Vol 11 (5) ◽

pp. 1139-1156 ◽

Author(s):

Liu Liu ◽

Keyword(s):

Boltzmann Equation ◽

Galerkin Method ◽

Random Inputs ◽

Stochastic Galerkin Method ◽

Spectral Convergence ◽

Semiconductor Boltzmann Equation ◽

Stochastic Galerkin

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Diffusion Approximation and Homogenization of the Semiconductor Boltzmann Equation

Multiscale Modeling and Simulation ◽

10.1137/040611227 ◽

2005 ◽

Vol 4 (3) ◽

pp. 896-914 ◽

Author(s):

Naoufel Ben Abdallah ◽

Mohamed Lazhar Tayeb

Keyword(s):

Boltzmann Equation ◽

Diffusion Approximation ◽

Semiconductor Boltzmann Equation

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DISCONTINUOUS GALERKIN METHOD FOR THE LINEAR POISSON-BOLTZMANN EQUATION

International Journal of Apllied Mathematics ◽

10.12732/ijam.v26i6.7 ◽

2014 ◽

Vol 26 (6) ◽

Author(s):

L. Bedin ◽

P.R. Bosing

Keyword(s):

Boltzmann Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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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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An entropy stable discontinuous Galerkin finite-element moment method for the Boltzmann equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.05.021 ◽

2016 ◽

Vol 72 (8) ◽

pp. 1988-1999 ◽

Author(s):

M.R.A. Abdelmalik ◽

E.H. van Brummelen

Keyword(s):

Finite Element ◽

Boltzmann Equation ◽

Discontinuous Galerkin ◽

Moment Method ◽

Galerkin Finite Element ◽

The Boltzmann Equation ◽

Discontinuous Galerkin Finite Element ◽

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