Convergent iterative schemes for a non-isentropic hydrodynamic model for semiconductors
Two iterative schemes for the solution of the one-dimensional stationary full hydrodynamic model for semiconductor devices are studied. This model consists of a system of balance equations for the electron density, temperature, and the electric field. The first iterative scheme relies on a decouplin...
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2002
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00442267_v82_n8_p559_Amster http://hdl.handle.net/20.500.12110/paper_00442267_v82_n8_p559_Amster |
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paper:paper_00442267_v82_n8_p559_Amster |
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paper:paper_00442267_v82_n8_p559_Amster2023-06-08T15:04:58Z Convergent iterative schemes for a non-isentropic hydrodynamic model for semiconductors Convergence Full hydrodynamic equations Gummel-iteration Linearization Newton-iteration Two iterative schemes for the solution of the one-dimensional stationary full hydrodynamic model for semiconductor devices are studied. This model consists of a system of balance equations for the electron density, temperature, and the electric field. The first iterative scheme relies on a decoupling of the equations in the spirit of the well-known Gummeliteration for the standard drift diffusion model. Convergence is proven in the case of small deviations from the equilibrium state. Secondly, a full Newton-iteration is analyzed and its local second order convergence is proven. © WILEY-VCH Verlag Berlin GmbH. 2002 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00442267_v82_n8_p559_Amster http://hdl.handle.net/20.500.12110/paper_00442267_v82_n8_p559_Amster |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Convergence Full hydrodynamic equations Gummel-iteration Linearization Newton-iteration |
| spellingShingle |
Convergence Full hydrodynamic equations Gummel-iteration Linearization Newton-iteration Convergent iterative schemes for a non-isentropic hydrodynamic model for semiconductors |
| topic_facet |
Convergence Full hydrodynamic equations Gummel-iteration Linearization Newton-iteration |
| description |
Two iterative schemes for the solution of the one-dimensional stationary full hydrodynamic model for semiconductor devices are studied. This model consists of a system of balance equations for the electron density, temperature, and the electric field. The first iterative scheme relies on a decoupling of the equations in the spirit of the well-known Gummeliteration for the standard drift diffusion model. Convergence is proven in the case of small deviations from the equilibrium state. Secondly, a full Newton-iteration is analyzed and its local second order convergence is proven. © WILEY-VCH Verlag Berlin GmbH. |
| title |
Convergent iterative schemes for a non-isentropic hydrodynamic model for semiconductors |
| title_short |
Convergent iterative schemes for a non-isentropic hydrodynamic model for semiconductors |
| title_full |
Convergent iterative schemes for a non-isentropic hydrodynamic model for semiconductors |
| title_fullStr |
Convergent iterative schemes for a non-isentropic hydrodynamic model for semiconductors |
| title_full_unstemmed |
Convergent iterative schemes for a non-isentropic hydrodynamic model for semiconductors |
| title_sort |
convergent iterative schemes for a non-isentropic hydrodynamic model for semiconductors |
| publishDate |
2002 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00442267_v82_n8_p559_Amster http://hdl.handle.net/20.500.12110/paper_00442267_v82_n8_p559_Amster |
| _version_ |
1768542166628433920 |