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Semiconductor device modelling using the multigrid method Adams, Stephen E.
Abstract
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.
Item Metadata
Title |
Semiconductor device modelling using the multigrid method
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
1988
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Description |
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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Genre | |
Type | |
Language |
eng
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Date Available |
2010-08-25
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Provider |
Vancouver : University of British Columbia Library
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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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DOI |
10.14288/1.0079367
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Campus | |
Scholarly Level |
Graduate
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Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
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.