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University of Illinois at Urbana-Champaign
Quasi-Newton and Multigrid Methods for Semiconductor Device Simulation
Abstract
dc:descriptionA finite difference approximation to the semiconductor device equations using the Bernoulli function approximation to the exponential function is described, and the robustness of this approximation is demonstrated. Sheikh's convergence analysis of Gummel's method and quasi-Newton methods is extended to a nonuniform mesh and the Bernoulli function discretization. It is proved that Gummel's method and the quasi-Newton methods for the scaled carrier densities and carrier densities converge locally for sufficiently smooth problems.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Computer Science
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Slamet, Sumantri
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Identifier
- (UMI)AAI8409834
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/69522