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Research Report MRR96-017

A streamline diffusion method and its application in semiconductor device simulations

Eric X Jiang

Abstract Many applications in scientific computation give rise to convection-diffusion systems. One source of such systems is semiconductor device models. Whether the system is symmetrizable or not, working with the primitive form is often desirable.

In this paper, we consider a streamline-diffusion method suitable for solving such a non-symmetric system, with particular emphasis on semiconductor device simulations. Stability issues of the method and of its variants are discussed. Numerical results obtained upon applying this method for $n^+ -n-n^+$ diode and MESFET simulations are very satisfactory.


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