A discontinuous Galerkin fast spectral method for the multi-species Boltzmann equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.04.015 ◽

2019 ◽

Vol 352 ◽

pp. 56-84 ◽

Author(s):

Shashank Jaiswal ◽

Alina A. Alexeenko ◽

Jingwei Hu

Keyword(s):

Boltzmann Equation ◽

Spectral Method ◽

Discontinuous Galerkin

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A discontinuous Galerkin fast spectral method for the full Boltzmann equation with general collision kernels

Journal of Computational Physics ◽

10.1016/j.jcp.2018.11.001 ◽

2019 ◽

Vol 378 ◽

pp. 178-208 ◽

Author(s):

Shashank Jaiswal ◽

Alina A. Alexeenko ◽

Jingwei Hu

Keyword(s):

Boltzmann Equation ◽

Spectral Method ◽

Discontinuous Galerkin ◽

Collision Kernels

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A Conservative Discontinuous Galerkin Solver for the Space Homogeneous Boltzmann Equation for Binary Interactions

SIAM Journal on Numerical Analysis ◽

10.1137/16m1104792 ◽

2018 ◽

Vol 56 (5) ◽

pp. 3040-3070 ◽

Author(s):

Chenglong Zhang ◽

Irene M. Gamba

Keyword(s):

Boltzmann Equation ◽

Discontinuous Galerkin ◽

Homogeneous Boltzmann Equation

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Discontinuous Galerkin Solver for the Semiconductor Boltzmann Equation

Simulation of Semiconductor Processes and Devices 2007 ◽

10.1007/978-3-211-72861-1_61 ◽

2007 ◽

pp. 257-260 ◽

Author(s):

Yingda Cheng ◽

Irene M. Gamba ◽

Armando Majorana ◽

Chi-Wang Shu

Keyword(s):

Boltzmann Equation ◽

Discontinuous Galerkin ◽

Semiconductor Boltzmann Equation

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Burnett spectral method for the spatially homogeneous Boltzmann equation

Computers & Fluids ◽

10.1016/j.compfluid.2020.104456 ◽

2020 ◽

Vol 200 ◽

pp. 104456 ◽

Author(s):

Zhenning Cai ◽

Yuwei Fan ◽

Yanli Wang

Keyword(s):

Boltzmann Equation ◽

Spectral Method ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

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Implicit Discontinuous Galerkin Method for the Boltzmann Equation

Journal of Scientific Computing ◽

10.1007/s10915-020-01139-7 ◽

2020 ◽

Vol 82 (2) ◽

Author(s):

Wei Su ◽

Peng Wang ◽

Yonghao Zhang ◽

Lei Wu

Keyword(s):

Boltzmann Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

The Boltzmann Equation

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A Discontinuous Galerkin Fast Spectral Method for Multi-Species Full Boltzmann on Streaming Multi-Processors

Proceedings of the Platform for Advanced Scientific Computing Conference ◽

10.1145/3324989.3325714 ◽

2019 ◽

Author(s):

Shashank Jaiswal ◽

Jingwei Hu ◽

Julien K. Brillon ◽

Alina A. Alexeenko

Keyword(s):

Spectral Method ◽

Discontinuous Galerkin

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Deterministic solution of the spatially homogeneous Boltzmann equation using discontinuous Galerkin discretizations in the velocity space

Journal of Computational Physics ◽

10.1016/j.jcp.2014.03.031 ◽

2014 ◽

Vol 272 ◽

pp. 170-188 ◽

Author(s):

A. Alekseenko ◽

E. Josyula

Keyword(s):

Boltzmann Equation ◽

Discontinuous Galerkin ◽

Velocity Space ◽

Homogeneous Boltzmann Equation ◽

Deterministic Solution ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

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Conservative Discontinuous Galerkin/Hermite Spectral Method for the Vlasov–Poisson System

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-020-00089-z ◽

2020 ◽

Author(s):

Francis Filbet ◽

Tao Xiong

Keyword(s):

Spectral Method ◽

Discontinuous Galerkin ◽

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A Polynomial Spectral Method for the Spatially Homogeneous Boltzmann Equation

SIAM Journal on Scientific Computing ◽

10.1137/17m1160240 ◽

2019 ◽

Vol 41 (1) ◽

pp. B27-B49 ◽

Author(s):

Gerhard Kitzler ◽

Joachim Schöberl

Keyword(s):

Boltzmann Equation ◽

Spectral Method ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

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DISCONTINUOUS GALERKIN METHOD FOR THE LINEAR POISSON-BOLTZMANN EQUATION

International Journal of Apllied Mathematics ◽

10.12732/ijam.v26i6.7 ◽

2014 ◽

Vol 26 (6) ◽

Author(s):

L. Bedin ◽

P.R. Bosing

Keyword(s):

Boltzmann Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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