A multigrid preconditioner for the semiconductor equations

SIAM Journal on Scientific Computing

Volumn 17, Issue 1, 1996, Pages 118-132

  Meza, Juan C ^a   Tuminaro, Ray S ^b  

^a SANDIA NATIONAL LABORATORIES   (United States)

^b SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

Drift diffusion; Multigrid; Semiconductors

Indexed keywords

EID: 0001677033     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/0917010     Document Type: Article

References (14)

1. R. ALCOUFEE, A. BRANDT, J. DENDY, AND J. PAINTER, The multigrid method for diffusion equations with strongly discontinuous coefficients, SIAM J. Sci. Statist. Comput., 2 (1981), pp. 430-454.
2. B. BACHMANN, A Multigrid Solver for the Semiconductor Equations, Tech. report, Institut fur Angewandte Mathematik der Universitat Zurich, Ramistr. 74, 8001 Zurich, Switzerland, 1993.
3. A. BRANDT, Multi-level adaptive solutions to boundary-value problems, Math. Comp., 31 (1977), pp. 333-390.
4. G. H. GOLUB AND C. F. VAN LOAN, Matrix Computations, Johns Hopkins University Press, Baltimore, MD, 1983.
5. W. HACKBUSCH, Multi-grid Methods and Applications. Springer-Verlag, Berlin, 1985.
6. H. K. GUMMEL, A self-consistent iterative scheme for one-dimensional steady state transistor calculations, IEEE Trans. Electron Devices, ED-11 (1964), pp. 455-465.
7. J. C. MEZA AND J. F. GRCAR, DANCIR: A Three-Dimensional Steady-State Semiconductor Device Simulator, Tech. report Sand89-8266, Sandia National Laboratories, Livermore, CA, 1990.
8. R. KETTLER AND J. A. MEIJERINK, A Multigrid Method and a Combined Multigrid-Conjugate Gradient Method for Elliptic Problems with Strongly Discontinuous Coefficients in General Domains, Tech. report, Shell Publ. 604, KSEPL, Rijswijk, The Netherlands, 1981.
9. M. S. MOCK, Analysis of Mathematical Models of Semiconductor Devices, Boole Press, Dublin, 1983.
10. J. MOLENAAR, Multigrid Methods for Semiconductor Device Simulation, Ph.D. thesis, Centrum voor Wiskunde en Informatica, Amsterdam, 1992.
11. S. SELBERHERR, Analysis and Simulation of Semiconductor Devices, Springer-Verlag, New York, 1984.
12. S. J. POLAK, C. DEN HEUER, W. H. A. SCHILDERS, AND P. MARKOWICH, Semiconductor device modelling from the numerical point of view, Internat. J. Numer. Methods Engrg., 24 (1987), pp. 763-838.
13. S. M. SZE, Physics of Semiconductor Devices, Wiley, New York, 1981.
14. P. WESSELING, An Introduction to Multigrid Methods, Wiley, West Sussex, 1992.