An accelerated monotone iterative method for the quantum-corrected energy transport model
- Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 802, Taiwan (China), E-mail: rcchen@nknucc.nknu.edu.tw
- Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung 811, Taiwan (China), E-mail: jinnliu@nuk.edu.tw
A non-stationary monotone iterative method is proposed and analyzed for the quantum-corrected energy transport model in nanoscale semiconductor device simulation. For the density-gradient equations, it is analytically and numerically shown that the convergence rate of the method is optimal in the sense of Gummel's decoupling iteration. This is a globally convergent method in the sense that the initial guess can be taken as a lower or an upper solution which is independent of applied voltages. The method integrates the monotone parameters, grid sizes, and Scharfetter-Gummel fitting in an adaptive and automatic way to treat the singularly perturbed nature of the model that incurs boundary, junction, and quantum potential layers in the device.
- OSTI ID:
- 21159392
- Journal Information:
- Journal of Computational Physics, Vol. 227, Issue 12; Other Information: DOI: 10.1016/j.jcp.2008.03.003; PII: S0021-9991(08)00142-3; Copyright (c) 2008 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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