Local discontinuous Galerkin methods for moment models in device simulations: Performance assessment and two-dimensional results

DOI10.1016/j.apnum.2006.07.027zbMath1119.82042OpenAlexW2041900857MaRDI QIDQ881483

Chi-Wang Shu, Yun-xian Liu

Publication date: 30 May 2007

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2006.07.027

zbMATH Keywords

finite elementsconvection-diffusion systemsemiconductor device modeling

Mathematics Subject Classification ID

Statistical mechanics of semiconductors (82D37) Applications of design theory to circuits and networks (94C30)

Related Items

Analysis of the local discontinuous Galerkin method for the drift-diffusion model of semiconductor devices ⋮ A discontinuous Galerkin implementation of a domain decomposition method for kinetic-hydrodynamic coupling multiscale problems in gas dynamics and device simulations ⋮ Galerkin methods for Boltzmann-Poisson transport with reflection conditions on rough boundaries ⋮ The WKB local discontinuous Galerkin method for the simulation of Schrödinger equation in a resonant tunneling diode ⋮ Error analysis of the semi-discrete local discontinuous Galerkin method for semiconductor device simulation models ⋮ A discontinuous Galerkin solver for Boltzmann-Poisson systems in nano-devices ⋮ Residual distribution finite element method for convection-dominated problems ⋮ An implicit LU-SGS spectral volume method for moment models in device simulations II: Accuracy studies and performance enhancements using the penalty and BR2 formulations ⋮ Implicit-explicit local discontinuous Galerkin methods with generalized alternating numerical fluxes for convection-diffusion problems ⋮ Discontinuous Galerkin deterministic solvers for a Boltzmann-Poisson model of hot electron transport by averaged empirical pseudopotential band structures ⋮ An implicit LU-SGS spectral volume method for the moment models in device simulations: Formulation in 1D and application to a p-multigrid algorithm

Uses Software

• WENO

Cites Work

• Unnamed Item
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
• The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
• Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
• A WENO-solver for the transients of Boltzmann-Poisson system for semiconductor devices: Performance and comparisons with Monte Carlo methods.
• Quantum hydrodynamic simulation of hysteresis in the resonant tunneling diode
• Device benchmark comparisons via kinetic, hydrodynamic, and high-field models
• The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
• TRANSIENT SEMICONDUCTOR DEVICE SIMULATION INCLUDING ENERGY BALANCE EQUATION
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• Numerical Discretization of Energy-Transport Models for Semiconductors with Nonparabolic Band Structure
• A Local Discontinuous Galerkin Method for KdV Type Equations