Multistep Finite Volume Approximations to the Transient Behavior of a Semiconductor Device on General 2D or 3D Meshes

Multistep Finite Volume Approximations to the Transient Behavior of a Semiconductor Device on General 2D or 3D Meshes

Year:    2007

Journal of Computational Mathematics, Vol. 25 (2007), Iss. 4 : pp. 485–496

Abstract

In this paper, we consider a hydrodynamic model of the semiconductor device. The approximate solutions are obtained by a mixed finite volume method for the potential equation and multistep upwind finite volume methods for the concentration equations. Error estimates in some discrete norms are derived under some regularity assumptions on the exact solutions.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2007-JCM-8706

Journal of Computational Mathematics, Vol. 25 (2007), Iss. 4 : pp. 485–496

Published online:    2007-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Semiconductor device Unstructured meshes Finite volume Multistep method Error estimates.