Dual basis and characteristic discontinuous finite element discretizations for the Boltzmann transport equation

DOI10.1080/00411450008214529zbMath0990.82028OpenAlexW2023288774MaRDI QIDQ2721309

C. R. E. de Oliveira, A. J. H. Goddard, Christopher C. Pain

Publication date: 4 July 2001

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411450008214529

zbMATH Keywords

linear Boltzmann transport equationdiscontinuous finite element approximations

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Magnetohydrodynamics and electrohydrodynamics (76W05) Transport processes in time-dependent statistical mechanics (82C70) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Cites Work

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• Parallelism in spectral methods
• A generalized Galerkin method for steady convection-diffusion problems with application to quadratic shape function elements
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• Quadratic finite element schemes for two-dimensional convective-transport problems

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