Analysis and Entropy Stability of the Line-Based Discontinuous Galerkin Method

We develop a discretely entropy-stable line-based discontinuous Galerkin method for hyperbolic conservation laws based on a flux differencing technique. By using standard entropy-stable and entropy-conservative numerical flux functions, this method guarantees that the discrete integral of the entrop...

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Veröffentlicht in:	Journal of scientific computing 2019-07, Vol.80 (1), p.376-402
Hauptverfasser:	Pazner, Will, Persson, Per-Olof
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Burgers equation Computational Mathematics and Numerical Analysis Conservation laws Discontinuous Galerkin Entropy Entropy stability Euler-Lagrange equation Finite volume method Galerkin method Inequality Line-DG Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics MATHEMATICS AND COMPUTING Mathematics and Statistics Numerical analysis Partial differential equations Robustness (mathematics) Spectral element method Stability analysis Symmetry Theoretical
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