Discontinuous Galerkin method for time-dependent problems: survey and recent developments

CW Shu - Recent Developments in Discontinuous Galerkin Finite …, 2014 - Springer
Discontinuous Galerkin Method for Time-Dependent Problems: Survey and Recent
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A discontinuous Galerkin method for the Vlasov–Poisson system

RE Heath, IM Gamba, PJ Morrison, C Michler - Journal of Computational …, 2012 - Elsevier
A discontinuous Galerkin method for approximating the Vlasov–Poisson system of equations
describing the time evolution of a collisionless plasma is proposed. The method is mass …

A brief survey of the discontinuous Galerkin method for the Boltzmann-Poisson equations

Y Cheng, IM Gamba, A Majorana, CW Shu - SeMA Journal, 2011 - Springer
We are interested in the deterministic computation of the transients for the Boltzmann-
Poisson system describing electron transport in semiconductor devices. The main difficulty …

An explicit modal discontinuous Galerkin method for Boltzmann transport equation under electronic nonequilibrium conditions

S Singh, M Battiato - Computers & Fluids, 2021 - Elsevier
The present paper deals with the development of a numerical scheme for the solution of two-
dimensional Boltzmann transport equation (BTE) under electronic nonequilibrium …

Strongly out-of-equilibrium simulations for electron Boltzmann transport equation using modal discontinuous Galerkin approach

S Singh, M Battiato - International Journal of Applied and Computational …, 2020 - Springer
In this study, we present simulations of strongly out-of-equilibrium conditions for the one-
dimensional electron Boltzmann transport equation (BTE) in semiconductor devices. An …

A discontinuous Galerkin solver for Boltzmann–Poisson systems in nano devices

Y Cheng, IM Gamba, A Majorana, CW Shu - Computer Methods in Applied …, 2009 - Elsevier
In this paper, we present results of a discontinuous Galerkin (DG) scheme applied to
deterministic computations of the transients for the Boltzmann–Poisson system describing …

Thermoelectric properties of electrically gated bismuth telluride nanowires

I Bejenari, V Kantser, AA Balandin - Physical Review B—Condensed Matter …, 2010 - APS
We theoretically studied how the electric field effect can modify thermoelectric properties of
intrinsic, n-type and p-type bismuth telluride nanowires with the growth direction [110]. The …

The multi-dimensional Hermite-discontinuous Galerkin method for the Vlasov–Maxwell equations

O Koshkarov, G Manzini, GL Delzanno… - Computer Physics …, 2021 - Elsevier
We discuss the development, analysis, implementation, and numerical assessment of a
spectral method for the numerical simulation of the three-dimensional Vlasov–Maxwell …

Positivity-preserving discontinuous Galerkin schemes for linear Vlasov-Boltzmann transport equations

Y Cheng, I Gamba, J Proft - Mathematics of Computation, 2012 - ams.org
We develop a high-order positivity-preserving discontinuous Galerkin (DG) scheme for
linear Vlasov-Boltzmann transport equations (Vlasov-BTE) under the action of quadratically …

Recovering doping profiles in semiconductor devices with the Boltzmann–Poisson model

Y Cheng, IM Gamba, K Ren - Journal of Computational Physics, 2011 - Elsevier
We investigate numerically an inverse problem related to the Boltzmann–Poisson system of
equations for transport of electrons in semiconductor devices. The objective of the (ill-posed) …