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Computer methods mechanics and
 

Summary: Computer methods
in applied
mechanics and
englneerlng
ELSEYIER Comput. Methods Appl. Mech. Engrg. 125 (1995) 187-220
Numerical solution of two-carrier hydrodynamic semiconductor
device equations employing a stabilized finite element method
N.R. Aluru, K.H. Law*, A. Raefsky, P.M. Pinsky, R.W. Dutton
Integrated Circuits Laboratory, 231-F, Applied Electronics Laboratory. Stanford University, Stanford, CA 94309, USA
Received 12 July 1994
Abstract
A space-time Galerkin/least-squares finite element method was presented in [l] for numerical simulation of single-carrier
hydrodynamic semiconductor device equations. The single-carrier hydrodynamic device equations were shown to resemble the
ideal gas equations and Galerkin/least-squares finite element method, originally developed for computational fluid dynamics
equations [16], was extended to solve semiconductor device applications. In this paper, the space-time Galerkin/least-squares
finite element method is further extended and generalized to solve two-carrier hydrodynamic device equations. The proposed
formulation is based on a time-discontinuous Galerkin method, in which physical entropy variables are employed. A standard
Galerkin finite element method is applied to the Poisson equation. Numerical simulations are performed on the coupled Poisson
and the two-carrier hydrodynamic equations employing a staggered approach.
A mathematical analysis of the time-dependent multi-dimensional hydrodynamic model is performed to determine well-posed

  

Source: Aluru, Narayana R. - Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign

 

Collections: Engineering; Materials Science