Capturing Near-Equilibrium Solutions: A Comparison between High-Order Discontinuous Galerkin Methods and Well-Balanced Schemes

DOI10.4208/cicp.OA-2018-0071zbMath1473.65196arXiv1803.05919OpenAlexW2963156593WikidataQ128325461 ScholiaQ128325461MaRDI QIDQ5161643

Romain Teyssier, Maria Han Veiga, David A. Velasco-Romero, Remi Abgrall

Publication date: 1 November 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.05919

zbMATH Keywords

numerical methodsdiscontinuous Galerkin methodsbenchmarkwell-balanced methods

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Applications to the sciences (65Z05)

Related Items (4)

High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes ⋮ Positivity-preserving well-balanced central discontinuous Galerkin schemes for the Euler equations under gravitational fields ⋮ On high order positivity-preserving well-balanced finite volume methods for the Euler equations with gravitation ⋮ Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness

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