On Optimal Cell Average Decomposition for High-Order Bound-Preserving Schemes of Hyperbolic Conservation Laws (Q6197776)

scientific article; zbMATH DE number 7821073

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English	On Optimal Cell Average Decomposition for High-Order Bound-Preserving Schemes of Hyperbolic Conservation Laws	scientific article; zbMATH DE number 7821073

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title

On Optimal Cell Average Decomposition for High-Order Bound-Preserving Schemes of Hyperbolic Conservation Laws (English)

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SIAM Journal on Numerical Analysis

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publication date

20 March 2024

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full work available at URL

https://arxiv.org/abs/2212.05045

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zbMATH Keywords

hyperbolic conservation laws

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bound-preserving schemes

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discontinuous Galerkin methods

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finite volume methods

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cell average decomposition

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MaRDI publication profile

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cites work

Runge--Kutta discontinuous Galerkin methods for convection-dominated problems

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Is the classic convex decomposition optimal for bound-preserving schemes in multiple dimensions?

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Third-order conservative sign-preserving and steady-state-preserving time integrations and applications in stiff multispecies and multireaction detonations

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Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes

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Invariant Domains and Second-Order Continuous Finite Element Approximation for Scalar Conservation Equations

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Invariant-region-preserving DG methods for multi-dimensional hyperbolic conservation law systems, with an application to compressible Euler equations

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An Introduction to Polynomial and Semi-Algebraic Optimization

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Maximum-Principle-Satisfying and Positivity-Preserving High Order Central Discontinuous Galerkin Methods for Hyperbolic Conservation Laws

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Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics

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Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters

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Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations

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Positivity-Preserving Analysis of Numerical Schemes for Ideal Magnetohydrodynamics

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Minimum Principle on Specific Entropy and High-Order Accurate Invariant-Region-Preserving Numerical Methods for Relativistic Hydrodynamics

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A Provably Positive Discontinuous Galerkin Method for Multidimensional Ideal Magnetohydrodynamics

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Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations

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High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics

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Parametrized positivity preserving flux limiters for the high order finite difference WENO scheme solving compressible Euler equations

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Parametrized maximum principle preserving flux limiters for high order schemes solving hyperbolic conservation laws: one-dimensional scalar problem

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Bound-Preserving High-Order Schemes

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On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations

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On maximum-principle-satisfying high order schemes for scalar conservation laws

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On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes

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Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments

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Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes

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Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes

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Mathematics(1 entry)

mardi Publication:6197776