Results 1  10
of
603,334
Solving the Drift Diffusion Equations
, 2008
"... The Drift Diffusion equations constitute the simplest and most commonly used model for simulating semiconductor devices. This paper contains a comparitive study of the performance and stability of several algorithms that solve these coupled equations without decoupling them. The considered techniqu ..."
Abstract
 Add to MetaCart
The Drift Diffusion equations constitute the simplest and most commonly used model for simulating semiconductor devices. This paper contains a comparitive study of the performance and stability of several algorithms that solve these coupled equations without decoupling them. The considered
Drift diffusion equations with fractional diffusion and the quasigeostrophic equation
 Ann. Math
"... the quasigeostrophic equation ..."
Domain Decomposition Algorithms for the DriftDiffusion Equations
 In Sincovec R., Keyes D., Leuze M., Petzold L., and Reed D. (eds) Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing
, 1993
"... We present a domain decomposition method suitable for the driftdiffusion equations. The new scheme is applied to the linear systems resulting from Gummel's method and corresponds to a preconditioned conjugate gradient technique for the Schur complement of the linear systems. In designing the p ..."
Abstract

Cited by 2 (1 self)
 Add to MetaCart
We present a domain decomposition method suitable for the driftdiffusion equations. The new scheme is applied to the linear systems resulting from Gummel's method and corresponds to a preconditioned conjugate gradient technique for the Schur complement of the linear systems. In designing
ON THE LOSS OF CONTINUITY FOR SUPERCRITICAL DRIFTDIFFUSION EQUATIONS
"... ABSTRACT. We show that there exist solutions of driftdiffusion equations in two dimensions with divergencefree supercritical drifts, that become discontinuous in finite time. We consider classical as well as fractional diffusion. However, in the case of classical diffusion and timeindependent dr ..."
Abstract

Cited by 11 (3 self)
 Add to MetaCart
ABSTRACT. We show that there exist solutions of driftdiffusion equations in two dimensions with divergencefree supercritical drifts, that become discontinuous in finite time. We consider classical as well as fractional diffusion. However, in the case of classical diffusion and time
Discrete processes, driftdiffusion equations and replicator dynamics
, 2008
"... Simple evolutionary models, like the Moran process or the WrightFisher process, have been used to model cancer initiation and progression [1, 2]. In this talk we show that for large populations these models can be naturally divided in two time scales, the first related to natural selection, the sec ..."
Abstract
 Add to MetaCart
, the second to genetic drift. We obtain the large population limit of these process in different scalings. In one precise scaling it is possible to keep both effects. In this case, we have as limit model a partial differential driftdiffusion equation of degenerated type. We analyze this equation from
The quasineutral limit in the quantum driftdiffusion equations
, 2005
"... The quasineutral limit in the transient quantum driftdiffusion equations in one space dimension is rigorously proved. The model consists of a fourthorder parabolic equation for the electron density, including the quantum Bohm potential, coupled to the Poisson equation for the electrostatic potenti ..."
Abstract

Cited by 8 (2 self)
 Add to MetaCart
The quasineutral limit in the transient quantum driftdiffusion equations in one space dimension is rigorously proved. The model consists of a fourthorder parabolic equation for the electron density, including the quantum Bohm potential, coupled to the Poisson equation for the electrostatic
POD Model Order Reduction of Drift Diffusion Equations in Electrical Networks
"... In order to obtain a highly accurate model for integrated circuits it has been proposed in [1] to simulate the semiconductor components by a driftdiffusion equation. The coupling with the network equations then yields a nonlinear partialdifferential algebraic equation (PDAE). We discretize the dri ..."
Abstract
 Add to MetaCart
In order to obtain a highly accurate model for integrated circuits it has been proposed in [1] to simulate the semiconductor components by a driftdiffusion equation. The coupling with the network equations then yields a nonlinear partialdifferential algebraic equation (PDAE). We discretize
The energy transport and the drift diffusion equations as relaxation limits of the hydrodynamic model for semiconductors
, 1996
"... Two relaxation limits of the hydrodynamic model for semiconductors are investigated. Using the compensated compactness tools we show the convergence of (scaled) entropy solutions of the hydrodynamic model to the solutions of the energy transport and the driftdiffusion equations, according respectiv ..."
Abstract

Cited by 13 (1 self)
 Add to MetaCart
Two relaxation limits of the hydrodynamic model for semiconductors are investigated. Using the compensated compactness tools we show the convergence of (scaled) entropy solutions of the hydrodynamic model to the solutions of the energy transport and the driftdiffusion equations, according
Finite volume scheme for multidimensional driftdiffusion equations and convergence analysis
 M2AN
"... Abstract. We introduce a finite volume scheme for multidimensional driftdiffusion equations. Such equations arise from the theory of semiconductors and are composed of two continuity equations coupled with a Poisson equation. In the case that the continuity equations are non degenerate, we prove t ..."
Abstract

Cited by 15 (6 self)
 Add to MetaCart
Abstract. We introduce a finite volume scheme for multidimensional driftdiffusion equations. Such equations arise from the theory of semiconductors and are composed of two continuity equations coupled with a Poisson equation. In the case that the continuity equations are non degenerate, we prove
A DriftDiffusion Equation For Charge Transport In Inhomogeneous Materials
"... . From a hopping rate equation for disordered materials we derive a macroscopic driftdiffusion equation. For this purposes two spacetime scales are simultaneously considered. The microscopic dynamics is characterized by the distribution of localized states and the hopping rate. On the macroscopi ..."
Abstract
 Add to MetaCart
. From a hopping rate equation for disordered materials we derive a macroscopic driftdiffusion equation. For this purposes two spacetime scales are simultaneously considered. The microscopic dynamics is characterized by the distribution of localized states and the hopping rate
Results 1  10
of
603,334