Artículo
Amster, P.; Pinnau, R. "Convergent iterative schemes for a non-isentropic hydrodynamic model for semiconductors" (2002) ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 82(8):559-566
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | Convergent iterative schemes for a non-isentropic hydrodynamic model for semiconductors |
| Autor: | Amster, P.; Pinnau, R. |
| Filiación: | Depto. de Matemática, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina Fachbereich Mathematik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany |
| Palabras clave: | Convergence; Full hydrodynamic equations; Gummel-iteration; Linearization; Newton-iteration |
| Año: | 2002 |
| Volumen: | 82 |
| Número: | 8 |
| Página de inicio: | 559 |
| Página de fin: | 566 |
| DOI: | http://dx.doi.org/10.1002/1521-4001(200208)82:8<559::AID-ZAMM559>3.0.CO;2-6 |
| Título revista: | ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik |
| Título revista abreviado: | ZAMM Z. Angew. Math. Mech. |
| ISSN: | 00442267 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00442267_v82_n8_p559_Amster |
Referencias:
- ANILE, A.M., ROMAND, V., (1999) Hydrodynamical modeling of charge carrier transport in semiconductors, , Summer School on Industrial Mathematics, 63 p
- AMSTER, P., BECCAR VARELA, M.P., JÜNGEL, A., MARIANI, M.C., Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors (2001) J. Math. Anal. Appl, 258, pp. 52-62
- DEGOND, P., MARKOWICH, P., On a one-dimensional steady-state hydrodynamic model for semiconductors (1990) Appl. Math. Lett, 3, pp. 25-29
- DEGOND, P., MARKOWICH, P., A steady-state potential flow model for semiconductors (1993) Ann. Mat. Pura Appl, 165, pp. 87-98
- GARDNER, C.L., JEROME, J.W., ROSE, D.J., Numerical methods for the hydrodynamic device model: Subsonic flow (1989) IEEE Trans. Computer-Aided Design of Integrated Circuits and Systems, 8, pp. 501-507
- GASSER, I., MARKOWICH, P.A., RINGHOFER, CH, Closure conditions for classical and quantum moment hierarchies in the small-temperature limit (1996) Transp. Theory Stat. Phys, 25 (3), pp. 409-423
- GILBARG, D.; TRUDINGER, N. S.: Elliptic partial differential equations of second order. Springer-Verlag, Berlin 1983; GUMMEL, H.K., A self-consistent iterative scheme for one-dimensional steady state transistor calculations (1964) IEEE Trans. Elec. Dev, ED-11, pp. 455-465
- JÜNGEL, A.: Quasi-hydrodynamic semiconductor equations. PNLDE 41. Birkhäuser, 2001; MARKOWICH, P. A.; RINGHOFER, CH. A.; SCHMEISER, CH.: Semiconductor equations. Springer-Verlag, Wien 1990; YEH, L.-M., Well posedness of the hydrodynamic model for semiconductors (1996) Math. Methods Appl. Sci, 19, pp. 1489-1507
- YEH, L.-M., Subsonic solutions of the hydrodynamic model for semiconductors (1997) Math. Methods Appl. Sci, 20, pp. 1389-1410
- ZEIDLER, E.: Nonlinear functional analysis and its applications. I. Springer-Verlag, Berlin 1986; ZHU, C., HATTORI, H., Asymptotic behavior of the solution to a nonisentropic model for semiconductors (1998) J. Differ. Eqs, 144, pp. 353-389
Citas:
---------- APA ----------
Amster, P. & Pinnau, R. (2002) . Convergent iterative schemes for a non-isentropic hydrodynamic model for semiconductors. ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 82(8), 559-566.http://dx.doi.org/10.1002/1521-4001(200208)82:8<559::AID-ZAMM559>3.0.CO;2-6
---------- CHICAGO ----------
Amster, P., Pinnau, R. "Convergent iterative schemes for a non-isentropic hydrodynamic model for semiconductors" . ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik 82, no. 8 (2002) : 559-566.http://dx.doi.org/10.1002/1521-4001(200208)82:8<559::AID-ZAMM559>3.0.CO;2-6
---------- MLA ----------
Amster, P., Pinnau, R. "Convergent iterative schemes for a non-isentropic hydrodynamic model for semiconductors" . ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, vol. 82, no. 8, 2002, pp. 559-566.http://dx.doi.org/10.1002/1521-4001(200208)82:8<559::AID-ZAMM559>3.0.CO;2-6
---------- VANCOUVER ----------
Amster, P., Pinnau, R. Convergent iterative schemes for a non-isentropic hydrodynamic model for semiconductors. ZAMM Z. Angew. Math. Mech. 2002;82(8):559-566.http://dx.doi.org/10.1002/1521-4001(200208)82:8<559::AID-ZAMM559>3.0.CO;2-6
