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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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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On Stability and Strong Convergence for the Spatially Homogeneous Boltzmann Equation for Fermi-Dirac Particles

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-003-0247-8 ◽

2003 ◽

Vol 168 (1) ◽

pp. 1-34 ◽

Author(s):

Xuguang Lu ◽

Bernt Wennberg

Keyword(s):

Boltzmann Equation ◽

Strong Convergence ◽

Homogeneous Boltzmann Equation ◽

Dirac Particles ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

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A method for constructing a solution of the spatially homogeneous boltzmann equation for a mixture of gases

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(88)90244-3 ◽

1988 ◽

Vol 28 (1) ◽

pp. 196-198 ◽

Author(s):

V.A. Voronina

Keyword(s):

Boltzmann Equation ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially 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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Shubin Regularity for the Radially Symmetric Spatially Homogeneous Boltzmann Equation with Debye-Yukawa Potential

Acta Mathematica Scientia ◽

10.1007/s10473-019-0602-y ◽

2019 ◽

Vol 39 (6) ◽

pp. 1487-1507

Author(s):

Léo Glangetas ◽

Haoguang Li

Keyword(s):

Boltzmann Equation ◽

Yukawa Potential ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

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Mathematical treatment of the homogeneous Boltzmann equation for Maxwellian molecules in the presence of singular kernels

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/s10231-014-0440-4 ◽

2014 ◽

Vol 194 (6) ◽

pp. 1707-1732

Author(s):

Emanuele Dolera

Keyword(s):

Boltzmann Equation ◽

Mathematical Treatment ◽

Homogeneous Boltzmann Equation ◽

Singular Kernels ◽

Maxwellian Molecules

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On the homogeneous Boltzmann equation with soft-potential collision kernels

Kinetic and Related Models ◽

10.3934/krm.2015.8.309 ◽

2015 ◽

Vol 8 (2) ◽

pp. 309-333

Author(s):

Yong-Kum Cho

Keyword(s):

Boltzmann Equation ◽

Soft Potential ◽

Homogeneous Boltzmann Equation ◽

Collision Kernels

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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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Stochastic differential equation corresponding to the spatially homogeneous Boltzmann equation of Maxwellian and non-cutoff type

Stochastic Processes ◽

10.1142/9789812778550_0021 ◽

2002 ◽

pp. 292-310

Author(s):

Hiroshi TANAKA

Keyword(s):

Differential Equation ◽

Boltzmann Equation ◽

Stochastic Differential Equation ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation

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