A comparative study of limiting strategies in discontinuous Galerkin schemes for the \(M_1\) model of radiation transport

DOI10.1016/j.cam.2018.04.017zbMath1448.65153arXiv1706.10174OpenAlexW2963287694MaRDI QIDQ1639559

Prince Chidyagwai, Benjamin Seibold, Florian Schneider, Martin Frank

Publication date: 13 June 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.10174

zbMATH Keywords

discontinuous Galerkinminimum entropymoment modelsrealizability limiter

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical quadrature and cubature formulas (65D32) Initial value problems for first-order hyperbolic systems (35L45) First-order hyperbolic systems (35L40) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Radiative heat transfer (80A21)

Related Items (6)

A new entropy-variable-based discretization method for minimum entropy moment approximations of linear kinetic equations ⋮ Improvements to a class of hybrid methods for radiation transport: Nyström reconstruction and defect correction methods ⋮ First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: realizability-preserving splitting scheme and numerical analysis ⋮ Higher-order models for glioma invasion: From a two-scale description to effective equations for mass density and momentum ⋮ A hyperbolicity-preserving stochastic Galerkin approximation for uncertain hyperbolic systems of equations ⋮ First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: model derivation and realizability theory

Uses Software

• GSL
• HE-E1GODF

Cites Work

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