An Optimization Approach to a Finite Dimensional Parameter Estimation Problem in Semiconductor Device Design

Journal of Computational Physics

Volumn 156, Issue 2, 1999, Pages 241-256

  Lee, W R ^a   Wang, S ^b   Teo, K L ^c  

^a CURTIN UNIVERSITY   (Australia)

^b UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

^c HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

COST FUNCTIONS; GEOMETRY; LINEAR SYSTEMS; NONLINEAR EQUATIONS; NONLINEAR PROGRAMMING; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; SEMICONDUCTOR DEVICE MODELS;

DIMENSIONAL PARAMETERS; FINITE DIMENSIONAL; OPTIMIZATION APPROACH; OPTIMIZATION PROBLEMS; PARAMETER ESTIMATION PROBLEMS; PARAMETER SELECTION; PRESCRIBED PERFORMANCE; SEMICONDUCTOR DEVICE DESIGN; V-I CHARACTERISTIC; VOLTAGE CURRENT;

SEMICONDUCTOR DEVICES;

EID: 0000649371     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1999.6358     Document Type: Article

References (15)

1. P. T. Boggs, R. H. Byrd, and R. B. Schnabel, A stable and efficient algorithm for nonlinear orthogonal distance regression, SIAM J. Sci. Stat. Comput. 8(6), 1057(1987).
2. B. Delaunay, Sur la sphere vide, Izv. Akad. Nauk SSSR Mat. Nat. Sci. 6, 793 (1934).
3. G. L. Dirichlet, Über die Reduction der positive quadratischen Formen mit drei unbestimmten ganzen Zahlen, J. Reine Angew. Math. 40, 209 (1850).
4. C. J. Fitzsimons, J. J. H. Miller, S. Wang, and C. H. Wu, Hexahedral discretisations of the stationary semiconductor device equations, Comp. Methods Appl. Mech. Eng. 84, 43 (1990).
5. H. K. Gummel, A self-consistent iterative scheme for one-dimensional steady state transistor calculation, IEEE Elec. Dev. 11, 455 (1964).
6. N. Khalil, ULSI Characterization with Technology Computer-Aided Design, Ph.D. Dissertation, Technische Universität Wien, 1995.
7. K. Levenberg, A method for the solution of certain nonlinear problems in least squares, Quart. Appl. Math. 2, 164 (1994).
8. D. W Marquardt, An algorithm for least squares estimation of non-linear parameters, SIAM J. Appl. Math. 11, 431 (1963).
9. P. A. Markowich, The Stationary Semiconductor Device Equations (Springer-Verlag, Wien/New York, 1986).
10. J. J. H. Miller and S. Wang, A triangular mixed finite element method for the stationary semiconductor device equations, RAIRO Modél. Math. Anal. Numér. 25, (4), 441 (1991).
11. J. J. H. Miller and S. Wang, An analysis of the Scharfetter-Gummel box method for the stationary semiconductor device equations, RAIRO Modél. Math. Anal. Numér. 28(2), 123 (1994).
12. J. J. H. Miller and S. Wang, An exponentially fitted finite volume method for the numerical solution of 2d incompressible flow problems, J. Comput. Phys. 115, 56 (1994).
13. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. (Cambridge Univ. Press, New York, 1992).
14. S. Selberherr, Analysis and Simulation of Semiconductor Devices (Springer-Verlag, Wien/New York, 1984).
15. W. V. Van Roosbroeck, Theory of flow of electrons and holes in germanium and other semiconductors, Bell Syst. Tech. J. 29, 560 (1950).