Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering

DOI10.1090/MCOM/3670zbMath1491.65150arXiv2009.11356OpenAlexW3174753365MaRDI QIDQ4956920

Qiwei Sheng, Cory D. Hauck

Publication date: 2 September 2021

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.11356

zbMATH Keywords

convergence analysisradiative transfer equationdiscontinuous Galerkinasymptotic preservingdiscrete-ordinate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Wave scattering in solid mechanics (74J20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) A priori estimates in context of PDEs (35B45) Radiative transfer in astronomy and astrophysics (85A25) First-order hyperbolic systems (35L40) Integro-partial differential equations (35R09) Radiative heat transfer (80A21)

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