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UBC Theses and Dissertations

Semiconductor device modelling using the multigrid method Adams, Stephen E.


This thesis examines the application of the multigrid method to the semiconductor equations. An overview of semiconductor device modelling in presented, and the multi-grid method is described. Several modifications to the basic multigrid algorithm are evaluated based on their performance for a one dimensional model problem. It was found that using a symmetric Gauss-Seidel relaxation scheme, a special prolongation based on the discrete equations, and local relaxation sweeps near the pn-junctions produced a robust, and efficient code. This modified algorithm is also successful for a wide variety of cases, and its performance compares favourably with other multigrid algorithms that have been applied to the semiconductor equations.

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