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Reports (Research Report) Year : 1990

The periodic Boltzmann semiconductor equation

Roland Glowinski
  • Function : Author
Patrick Le Tallec
Jean-François Palmier
  • Function : Author

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.

Domains

Other [cs.OH]
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Dates and versions

inria-00075389 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00075389 , version 1

Cite

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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