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

DOI10.1007/BF03322587zbMath1242.65202OpenAlexW2170690815MaRDI QIDQ435141

Yingda Cheng, Chi-Wang Shu, Armando Majorana, Irene Martínez Gamba

Publication date: 11 July 2012

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322587

Mathematics Subject Classification ID

Statistical mechanics of semiconductors (82D37) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Boltzmann equations (35Q20)

Related Items (14)

Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential ⋮ DSMC method consistent with the Pauli exclusion principle and comparison with deterministic solutions for charge transport in graphene ⋮ Numerical methods for high-dimensional probability density function equations ⋮ Direct Simulation of Charge Transport in Graphene Nanoribbons ⋮ A Conservative Discontinuous Galerkin Solver for the Space Homogeneous Boltzmann Equation for Binary Interactions ⋮ Cross validation of discontinuous Galerkin method and Monte Carlo simulations of charge transport in graphene on substrate ⋮ Optimal control of a semiclassical Boltzmann equation for charge transport in graphene ⋮ The multi-dimensional Hermite-discontinuous Galerkin method for the Vlasov-Maxwell equations ⋮ Discontinuous Galerkin algorithms for fully kinetic plasmas ⋮ Simulation of Bipolar Charge Transport in Graphene by Using a Discontinuous Galerkin Method ⋮ Discontinuous Galerkin approach for the simulation of charge transport in graphene ⋮ Improved mobility models for charge transport in graphene ⋮ A fast implicit solver for semiconductor models in one space dimension ⋮ Comparing Kinetic and MEP Model of Charge Transport in Graphene

Uses Software

• WENO

Cites Work

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