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. / Science, Faculty of / Mathematics, Department of / Graduate
| Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/27787 |
| Date | January 1988 |
| Creators | Adams, Stephen E. |
| Publisher | University of British Columbia |
| Source Sets | University of British Columbia |
| Language | English |
| Detected Language | English |
| Type | Text, Thesis/Dissertation |
| Rights | For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. |
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