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

DOI10.1137/16M1104792zbMath1403.65079OpenAlexW2897113804MaRDI QIDQ4554046

Chenglong Zhang, Irene Martínez Gamba

Publication date: 7 November 2018

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1104792

zbMATH Keywords

Boltzmann equationdiscontinuous Galerkin methodparallel computingconservative method

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Integro-partial differential equations (45K05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Boltzmann equations (35Q20)

Related Items (3)

Convergence and Error Estimates for the Lagrangian-Based Conservative Spectral Method for Boltzmann Equations ⋮ A conservative Galerkin solver for the quasilinear diffusion model in magnetized plasmas ⋮ Fast evaluation of the Boltzmann collision operator using data driven reduced order models

Uses Software

• GSL
• OpenMPI

Cites Work

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