A finite element formulation for the hydrodynamic semiconductor device equations

DOI10.1016/0045-7825(93)90180-6zbMath0786.76050OpenAlexW1967019100MaRDI QIDQ1309669

N. R. Aluru, R. J. G. Goossens, Arthur Raefsky, Peter M. Pinsky, Kincho H. Law, Robert W. Dutton

Publication date: 27 April 1994

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(93)90180-6

zbMATH Keywords

carrier devicescoupled Poisson and hydrodynamic equations

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Technical applications of optics and electromagnetic theory (78A55) Compressible fluids and gas dynamics (76N99)

Related Items (9)

An iterative method for adaptive finite element solutions of an energy transport model of semiconductor devices ⋮ AN ANALYSIS OF THE HYDRODYNAMIC SEMICONDUCTOR DEVICE MODEL — BOUNDARY CONDITIONS AND SIMULATIONS ⋮ Least-squares finite element formulation for hydrodynamic modeling of semiconductor devices. ⋮ Numerical solutions of a viscous‐hydrodynamic model for semiconductors: the supersonic case ⋮ A quantum corrected energy-transport model for nanoscale semiconductor devices ⋮ Stabilized 3D finite elements for the numerical solution of the Navier-Stokes equations in semiconductors ⋮ Numerical solution of two-carrier hydrodynamic semiconductor device equations employing a stabilized finite element method ⋮ Hydrodynamic modeling of short-channel devices using an upwind flux vector splitting scheme. ⋮ Semiconductor device simulation using a viscous hydrodynamic model.

Cites Work

• Unnamed Item
• A consistent approximate upwind Petrov-Galerkin method for convection- dominated problems
• Finite element methods for linear hyperbolic problems
• A Petrov-Galerkin finite element method for convection-dominated flows: An accurate upwinding technique for satisfying the maximum principle
• A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
• A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
• A new finite element formulation for computational fluid dynamics. IV: A discontinuity-capturing operator for multidimensional advective-diffusive systems
• A new finite element formulation for computational fluid dynamics. II. Beyond SUPG
• A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems
• On the symmetric form of systems of conservation laws with entropy
• MULTI‐DIMENSIONAL DISCRETIZATION SCHEME FOR THE HYDRODYNAMIC MODEL OF SEMICONDUCTOR DEVICES
• Recent progress in the development and understanding of SUPG methods with special reference to the compressible Euler and Navier-Stokes equations
• Smoothing techniques for certain primitive variable solutions of the Navier-Stokes equations

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