Commun. Comput. Phys., 2 (2007), pp. 1027-1054.


A Semi-Lagrangian Deterministic Solver for the Semiconductor Boltzmann-Poisson System

Jose A. Carrillo 1*, Armando Majorana 2, Francesco Vecil 3

1 ICREA (Institucio Catalana de Recerca i Estudis Avanc cats) and Departament de Matematiques, Universitat Autonoma de Barcelona, E-08193 Bellaterra, Spain.
2 Dipartimento di Matematica e Informatica, Universita di Catania, Catania, Italy.
3 Departament de Matematiques, Universitat Autonoma de Barcelona, E-08193 Bellaterra, Spain.

Received 30 October 2006; Accepted (in revised version) 29 January 2007
Communicated by Chi-Wang Shu
Available online 27 April 2007

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.

AMS subject classifications: 65M99, 82D37, 82-08

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Key words: Kinetic equations for semiconductors, semi-Lagrangian schemes, splitting schemes.

*Corresponding author.
Email: carrillo@mat.uab.es (J. A. Carrillo), majorana@dmi.unict.it (A. Majorana), fvecil@mat.uab.es (F. Vecil)
 

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