Entropy stabilization and property-preserving limiters for \(\mathbb{P}_1\) discontinuous Galerkin discretizations of scalar hyperbolic problems
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Publication:2070270
DOI10.1515/jnma-2020-0056zbMath1481.65228arXiv2004.03521OpenAlexW3100603004WikidataQ115514387 ScholiaQ115514387MaRDI QIDQ2070270
Publication date: 24 January 2022
Published in: Journal of Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.03521
hyperbolic conservation lawsdiscontinuous Galerkin methodsentropy stabilityslope limitingflux correctioninvariant domain preservation
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
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Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: application to structure preserving discretization ⋮ Spectral analysis of high order continuous FEM for hyperbolic PDEs on triangular meshes: influence of approximation, stabilization, and time-stepping ⋮ Subcell limiting strategies for discontinuous Galerkin spectral element methods ⋮ Issues with positivity-preserving Patankar-type schemes ⋮ High order entropy preserving ADER-DG schemes ⋮ Bound-preserving flux limiting for high-order explicit Runge-Kutta time discretizations of hyperbolic conservation laws
Cites Work
- Unnamed Item
- High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains
- A maximum-principle preserving \(C^0\) finite element method for scalar conservation equations
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
- New non-oscillatory central schemes on unstructured triangulations for hyperbolic systems of conservation laws
- A discontinuous Galerkin method based on a Taylor basis for the compressible flows on arbitrary grids
- A vertex-based hierarchical slope limiter for \(p\)-adaptive discontinuous Galerkin methods
- On the symmetric form of systems of conservation laws with entropy
- A high-order conservative Patankar-type discretisation for stiff systems of production--destruction equations
- Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.
- High-order local maximum principle preserving (MPP) discontinuous Galerkin finite element method for the transport equation
- Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws
- Positivity-preserving discontinuous Galerkin methods with Lax-Wendroff time discretizations
- Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems
- A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes
- Algebraic entropy fixes and convex limiting for continuous finite element discretizations of scalar hyperbolic conservation laws
- Matrix-free subcell residual distribution for Bernstein finite element discretizations of linear advection equations
- Locally bound-preserving enriched Galerkin methods for the linear advection equation
- Entropy conservation property and entropy stabilization of high-order continuous Galerkin approximations to scalar conservation laws
- Stable discretisations of high-order discontinuous Galerkin methods on equidistant and scattered points
- Differentiable monotonicity-preserving schemes for discontinuous Galerkin methods on arbitrary meshes
- Linearity-preserving monotone local projection stabilization schemes for continuous finite elements
- Invariant-region-preserving DG methods for multi-dimensional hyperbolic conservation law systems, with an application to compressible Euler equations
- Analysis and entropy stability of the line-based discontinuous Galerkin method
- Essentially non-oscillatory residual distribution schemes for hyperbolic problems
- Strong Stability-Preserving High-Order Time Discretization Methods
- A Second-Order Maximum Principle Preserving Lagrange Finite Element Technique for Nonlinear Scalar Conservation Equations
- Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces
- Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments
- Analysis of Algebraic Flux Correction Schemes
- Invariant Domains and First-Order Continuous Finite Element Approximation for Hyperbolic Systems
- Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws
- The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
- Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
- Invariant Domains and Second-Order Continuous Finite Element Approximation for Scalar Conservation Equations
- A Moment Limiter for the Discontinuous Galerkin Method on Unstructured Triangular Meshes
- Second-Order Invariant Domain Preserving Approximation of the Euler Equations Using Convex Limiting
- Slope limiting for discontinuous Galerkin approximations with a possibly non‐orthogonal Taylor basis
- Relaxation Runge--Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier--Stokes Equations
- Physics-Compatible Finite Element Methods for Scalar and Tensorial Advection Problems
- Entropy Stable Scheme on Two-Dimensional Unstructured Grids for Euler Equations
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