In most cases steady-state semiconductor device equations are solved simultaneously by Newton's method, by Gummel's decoupled nonlinear relaxation scheme, or a combination of both. A framework deriving such different iterative methods from underlying variable transformations is presented. Within that framework the introduction of a new variable establishes a new nonlinear relaxation scheme, which is significantly faster than Gummel's scheme in cases where it converges slowly, thereby avoiding the drawbacks of a simultaneous solution method. This relaxation scheme has been implemented in the two-dimensional device simulator GALENE II
Published in:
Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on
(Volume:10
,
Issue:
9
)
Date of Publication: Sep 1991