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Space-Time Galerkin/Least-Squares Finite Element Formulation for the Hydrodynamic Device Equations

N. R. ALURU, Kincho H. LAW, Peter M. PINSKY, Arthur RAEFSKY, Ronald J. G. GOOSSENS, Robert W. DUTTON

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Summary :

Numerical simulation of the hydrodynamic semiconductor device equations requires powerful numerical schemes. A Space-time Galerkin/Least-Squares finite element formulation, that has been successfully applied to problems of fluid dynamic, is proposed for the solution of the hydrodynamic device equations. Similarity between the equations of fluid dynamic and semiconductor devices is discussed. The robustness and accuracy of the numerical scheme are demonstrated with the example of a single electron carrier submicron silicon MESFET device.

Publication
IEICE TRANSACTIONS on Electronics Vol.E77-C No.2 pp.227-235
Publication Date
1994/02/25
Publicized
Online ISSN
DOI
Type of Manuscript
Special Section PAPER (Special Issue on 1993 VLSI Process and Device Modeling Workshop (VPAD 93))
Category
Numerics

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