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Entropy-stable discontinuous Galerkin difference methods for hyperbolic conservation laws (Q2104062)

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Language	Label	Description	Also known as
English	Entropy-stable discontinuous Galerkin difference methods for hyperbolic conservation laws	scientific article

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scholarly article

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Entropy-stable discontinuous Galerkin difference methods for hyperbolic conservation laws (English)

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Sharanjeet Kaur

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Jason E. Hicken

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Jeffrey W. Banks

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Journal of Computational and Applied Mathematics

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publication date

9 December 2022

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full work available at URL

https://arxiv.org/abs/2103.03826

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zbMATH Keywords

Galerkin difference

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summation-by-parts

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entropy stable

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unstructured grid

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On Galerkin difference methods

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Discontinuous Galerkin difference methods for symmetric hyperbolic systems

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An arbitrary-order discontinuous Galerkin method with one unknown per element

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High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains

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Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions

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On discretely entropy conservative and entropy stable discontinuous Galerkin methods

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Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces

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Entropy Stable Staggered Grid Discontinuous Spectral Collocation Methods of any Order for the Compressible Navier--Stokes Equations

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A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations

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Stability of artificial dissipation and modal filtering for flux reconstruction schemes using summation-by-parts operators

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An entropy stable \(h/p\) non-conforming discontinuous Galerkin method with the summation-by-parts property

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Entropy stable space-time discontinuous Galerkin schemes with summation-by-parts property for hyperbolic conservation laws

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Entropy-stable multidimensional summation-by-parts discretizations on \textit{hp}-adaptive curvilinear grids for hyperbolic conservation laws

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On the robustness and performance of entropy stable collocated discontinuous Galerkin methods

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Galerkin Differences for High-Order Partial Differential Equations

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Multidimensional Summation-by-Parts Operators: General Theory and Application to Simplex Elements

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Summation-by-parts operators and high-order quadrature

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Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems

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Hyperbolic Conservation Laws in Continuum Physics

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Relaxation Runge--Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier--Stokes Equations

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Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks

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Entropy-stable, high-order summation-by-parts discretizations without interface penalties

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Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes

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Julia: A Fresh Approach to Numerical Computing

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On sub-linear convergence for linearly degenerate waves in capturing schemes

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Identifiers

zbMATH Open document ID

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10.1016/j.cam.2022.114885

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2104062

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