Conservative high order positivity-preserving discontinuous Galerkin methods for linear hyperbolic and radiative transfer equations

DOI10.1007/s10915-018-0700-3zbMath1407.65196OpenAlexW2801078223WikidataQ129989536 ScholiaQ129989536MaRDI QIDQ1633525

Chi-Wang Shu, Juan Cheng, Dan Ling

Publication date: 20 December 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-018-0700-3

zbMATH Keywords

discontinuous Galerkin methodlinear hyperbolic equationconservative schemeshigh-order accuracyradiative transfer equationpositivity-preserving

Mathematics Subject Classification ID

Related Items (10)

High order conservative positivity-preserving discontinuous Galerkin method for stationary hyperbolic equations ⋮ A fully asymptotic preserving decomposed multi-group method for the frequency-dependent radiative transfer equations ⋮ Spatial second-order positive and asymptotic preserving unified gas kinetic schemes for radiative transfer equations ⋮ On the conservation property of positivity-preserving discontinuous Galerkin methods for stationary hyperbolic equations ⋮ High-Order Conservative Positivity-Preserving DG-Interpolation for Deforming Meshes and Application to Moving Mesh DG Simulation of Radiative Transfer ⋮ High order positivity-preserving discontinuous Galerkin schemes for radiative transfer equations on triangular meshes ⋮ A Conservative Gradient Discretization Method for Parabolic Equations ⋮ A Sparse Grid Discrete Ordinate Discontinuous Galerkin Method for the Radiative Transfer Equation ⋮ A class of bound-preserving high order schemes: The main ideas and recent developments ⋮ Third order maximum-principle-satisfying and positivity-preserving Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws

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