Stabilized finite elements for semiconductor device simulation

作者: Stefano Micheletti

DOI: 10.1007/S007910000046

关键词:

摘要: This work deals with the numerical simulation of so-called Drift-Diffusion model for semiconductors. It includes two current continuity equations which are scalar convection-diffusion equations, possibly dominating convection. To face this problem we have resorted to main strategies. We use Streamline–Upwind/Petrov-Galerkin (SUPG) method a shock-capturing technique increases amount dissipation in neighbourhood layers without loosing high accuracy regions where solution is smooth. strategy carried out along adaptive grid refinement reduces mesh size only needed. Numerical results cases physical interest dimensions on unstructured grids presented. Total Variation Diminishing (TVD) methods and Mixed Finite Volumes (MFV) tested as well.

参考文章(21)
S. Micheletti, A. Quarteroni, R. Sacco, Current-voltage characteristics simulation of semiconductor devices using domain decomposition Journal of Computational Physics. ,vol. 119, pp. 46- 61 ,(1995) , 10.1006/JCPH.1995.1115
Thomas J.R. Hughes, Michel Mallet, Mizukami Akira, A new finite element formulation for computational fluid dynamics: II. Beyond SUPG Applied Mechanics and Engineering. ,vol. 54, pp. 341- 355 ,(1986) , 10.1016/0045-7825(86)90110-6
Ramon Codina, A discontinuity-capturing crosswind-dissipation for the finite element solution of the convection-diffusion equation Computer Methods in Applied Mechanics and Engineering. ,vol. 110, pp. 325- 342 ,(1993) , 10.1016/0045-7825(93)90213-H
S.E. Laux, B.M. Grossman, A general control-volume formulation for modeling impact ionization in semiconductor transport IEEE Transactions on Electron Devices. ,vol. 32, pp. 2076- 2082 ,(1985) , 10.1109/T-ED.1985.22241
Kenneth Eriksson, Don Estep, Peter Hansbo, Claes Johnson, Introduction to Adaptive Methods for Differential Equations Acta Numerica. ,vol. 4, pp. 105- 158 ,(1995) , 10.1017/S0962492900002531
Peter A. Markowich, Christian A. Ringhofer, Christian Schmeiser, Semiconductor equations ,(1990)
Louis J. Durlofsky, Stanley Osher, Bjorn Engquist, Triangle based TVD schemes for hyperbolic conservation laws ,(1990)