The periodic Boltzmann semiconductor equation

Abstract : This paper is concerned with the numerical solution of the Boltzmann semiconductor equation. Our main objective is the development of a fast deterministic solution procedure for the numerical computation of the steady state solutions. The discretization strategy is based on an upwind finite difference approximation of the gradient terms and on a deterministic conservative calculation of the integral operators. The resulting algebraic system is then solved by a least squares methodology which reduces the system to a quadratic minimization problem to be solved by a standard conjugate gradient algorithm.
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Rapport
[Research Report] RR-1169, INRIA. 1990
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https://hal.inria.fr/inria-00075389
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Soumis le : mercredi 24 mai 2006 - 18:07:21
Dernière modification le : mercredi 20 juin 2018 - 14:20:08
Document(s) archivé(s) le : mardi 12 avril 2011 - 18:48:07

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  • HAL Id : inria-00075389, version 1

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Jean-François Bourgat, Roland Glowinski, Patrick Le Tallec, Jean-François Palmier. The periodic Boltzmann semiconductor equation. [Research Report] RR-1169, INRIA. 1990. 〈inria-00075389〉

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