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On a Petrov–Galerkin method for the electrical and thermal behaviour of semiconductor devices in two dimensions

✍ Scribed by John J.H. Miller

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
361 KB
Volume
29
Category
Article
ISSN
0378-4754

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✦ Synopsis

We consider the equations governing the electrical and thermal behaviour of a semiconductor device in two dimensions. A non-standard Petrov-Galerkin method is used to obtain a discretisation of the equations for stationary problems. The resulting scheme is a generalization to the two-dimensional case and to the full set of equations of the well-known Scharfetter-Gummel scheme, which is the most successful discretisation for one-dimensional problems. The dependent variables used are the carrier densities, the electrostatic potential and the absolute temperature.

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