A semi-Lagrangian deterministic solver for the semiconductor Boltzmann-Poisson system

José A. Carrillo; Armando Majorana; Francesco Vecil

A semi-Lagrangian deterministic solver for the semiconductor Boltzmann-Poisson system

José A. Carrillo, Armando Majorana, Francesco Vecil

Departamento de Matemáticas

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

20 Citas (Scopus)

Resumen

In this paper we develop a deterministic numerical method for solving the Boltzmann transport equation for semiconductors based on a transport-collision time-splitting method. Transport phases are solved by means of accurate flux-balance methods while collision steps are computed in the original k-grid. Numerical experiments are shown allowing for a discussion of this method with respect to other present in the literature. © 2007 Global-Science Press.

Idioma original	Inglés
Páginas (desde-hasta)	1027-1054
Publicación	Communications in Computational Physics
Volumen	2
N.º	5
Estado	Publicada - 1 ene 2007

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title = "A semi-Lagrangian deterministic solver for the semiconductor Boltzmann-Poisson system",

abstract = "In this paper we develop a deterministic numerical method for solving the Boltzmann transport equation for semiconductors based on a transport-collision time-splitting method. Transport phases are solved by means of accurate flux-balance methods while collision steps are computed in the original k-grid. Numerical experiments are shown allowing for a discussion of this method with respect to other present in the literature. {\textcopyright} 2007 Global-Science Press.",

keywords = "Kinetic equations for semiconductors, Semi-Lagrangian schemes, Splitting schemes",

author = "Carrillo, {Jos{\'e} A.} and Armando Majorana and Francesco Vecil",

year = "2007",

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language = "English",

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T1 - A semi-Lagrangian deterministic solver for the semiconductor Boltzmann-Poisson system

AU - Carrillo, José A.

AU - Majorana, Armando

AU - Vecil, Francesco

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Y1 - 2007/1/1

N2 - In this paper we develop a deterministic numerical method for solving the Boltzmann transport equation for semiconductors based on a transport-collision time-splitting method. Transport phases are solved by means of accurate flux-balance methods while collision steps are computed in the original k-grid. Numerical experiments are shown allowing for a discussion of this method with respect to other present in the literature. © 2007 Global-Science Press.

AB - In this paper we develop a deterministic numerical method for solving the Boltzmann transport equation for semiconductors based on a transport-collision time-splitting method. Transport phases are solved by means of accurate flux-balance methods while collision steps are computed in the original k-grid. Numerical experiments are shown allowing for a discussion of this method with respect to other present in the literature. © 2007 Global-Science Press.

KW - Kinetic equations for semiconductors

KW - Semi-Lagrangian schemes

KW - Splitting schemes

M3 - Article

SN - 1815-2406

VL - 2

SP - 1027

EP - 1054

JO - Communications in Computational Physics

JF - Communications in Computational Physics

IS - 5

ER -

A semi-Lagrangian deterministic solver for the semiconductor Boltzmann-Poisson system

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