Exponentially fitted shape functions for advection-dominated flow problems in two dimensions

Journal of Computational and Applied Mathematics

Volumn 67, Issue 1, 1996, Pages 161-165

  Sacco, Riccardo ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

Advection diffusion equations; Exponential fitting approximation; Semiconductor device modelling

Indexed keywords

CURVE FITTING; EQUATIONS OF MOTION; FINITE ELEMENT METHOD; FUNCTIONS; GEOMETRY; SEMICONDUCTOR DEVICE MODELS;

ADVECTION DIFFUSION EQUATIONS; BOX METHOD; DRIFT DIFFUSION EQUATIONS; EXPONENTIAL FITTING APPROXIMATION; MIXED FINITE ELEMENTS; SCHARFETTER-GUMMEL METHOD; TWO DIMENSIONAL TRIANGULAR ELEMENTS;

APPROXIMATION THEORY;

EID: 0030079944     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0427(95)00149-2     Document Type: Article

References (8)

1. R.E. Bank, D.J. Rose and W. Fichtner, Numerical methods for semiconductor device simulation, IEEE Trans. Electr. Dev. ED-30 (1983) 1031-1041.
2. F. Brezzi, L.D. Marini and P. Pietra, Two-dimensional exponential fitting and applications to drift-diffusion models, SIAM J. Numer. Anal. 26 (1989) 1342-1355.
3. R. Sacco, Two-dimensional Scharfetter-Gummel trial functions for the finite element solution of convection-diffusion problems in semiconductors, Preprint no. 68/P, Dipartimento di Matematica, Politecnico di Milano, presented at First National Congress of SIMAI, Florence, 1992.
4. R. Sacco, E. Gatti and L. Gotusso, The patch test as a validation of a new finite element for the solution of convection-diffusion equations, Comput. Methods Appl. Mech. Engrg. 124 (1995) 113-124.
5. R. Sacco, E. Gatti and L. Gotusso, Divergence-free shape functions for a finite element solution of the drift-diffusion equations in semiconductors, Preprint no. 140/P, Dipartimento di Matematica, Politecnico di Milano, 1994.
6. R. Sacco, E. Gatti and L. Gotusso, A nonconforming exponentially fitted finite element method for two-dimensional advection-diffusion problems, Preprint no. 150/P, Dipartimento di Matematica, Politecnico di Milano, 1994, submitted.
7. D.L. Scharfetter and H.K. Gummel, Large-signal analysis of a silicon read diode oscillator, IEEE Trans. Electr. Dev. ED-16 (1969) 64-77.
8. S. Selberherr, Analysis and Simulation of Semiconductor Devices (Springer, Vienna, 1984).