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A Stochastic Galerkin Method for the Fokker–Planck–Landau Equation with Random Uncertainties Read chapter Read first chapter

2018 | OriginalPaper | Chapter

Class of Space-Time Entropy Stable DG Schemes for Systems of Convection–Diffusion

Authors : Georg May, Mohammad Zakerzadeh

Published in: Theory, Numerics and Applications of Hyperbolic Problems II

Publisher: Springer International Publishing

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Abstract

In this work, we present a family of entropy stable discontinuous Galerkin methods for systems of convection–diffusion with nonlinear convective and viscous fluxes. The discretization presented here is based on a mixed formulation and is designed to preserve entropy stability of an already existing entropy stable discretization for a hyperbolic system of conservation laws. The fully discrete version of the entropy stability is proven in the framework of space–time formulation with variants of several known schemes, including the method of Bassi–Rebay and symmetric interior penalty method.

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previous chapter Asymptotic Consistency of the RS-IMEX Scheme for the Low-Froude Shallow Water Equations: Analysis and Numerics
next chapter Invariant Manifolds for a Class of Degenerate Evolution Equations and Structure of Kinetic Shock Layers
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Metadata
Title
Class of Space-Time Entropy Stable DG Schemes for Systems of Convection–Diffusion
Authors
Georg May
Mohammad Zakerzadeh
Copyright Year
2018
Book
Theory, Numerics and Applications of Hyperbolic Problems II

Print ISBN: 978-3-319-91547-0

Electronic ISBN: 978-3-319-91548-7

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-91548-7_51

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