An entropy stable essentially oscillation-free discontinuous Galerkin method for hyperbolic conservation laws

Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
A generalized framework for nodal first derivative summation-by-parts operators
Entropy viscosity method for nonlinear conservation laws
On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations
Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations
Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks
On maximum-principle-satisfying high order schemes for scalar conservation laws
A stable and conservative high order multi-block method for the compressible Navier-Stokes equations
The numerical simulation of two-dimensional fluid flow with strong shocks
Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
The BR1 scheme is stable for the compressible Navier-Stokes equations
On discretely entropy conservative and entropy stable discontinuous Galerkin methods
Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations
An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry
Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws
Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements
Shallow water equations: split-form, entropy stable, well-balanced, and positivity preserving numerical methods
Simultaneous approximation terms for multi-dimensional summation-by-parts operators
Efficient implementation of weighted ENO schemes
ENO reconstruction and ENO interpolation are stable
A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes
An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. I: Theory and numerical verification
Entropy stable DGSEM for nonlinear hyperbolic systems in nonconservative form with application to two-phase flows
An entropy stable high-order discontinuous Galerkin method for cross-diffusion gradient flow systems
Entropy stable shock capturing space-time discontinuous Galerkin schemes for systems of conservation laws
Entropy-stable schemes for the Euler equations with far-field and wall boundary conditions
Steady-state computations using summation-by-parts operators
Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws
Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces
Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws
The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
Fully Discrete, Entropy Conservative Schemes of ArbitraryOrder
An Oscillation-free Discontinuous Galerkin Method for Scalar Hyperbolic Conservation Laws
An Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Systems
Efficient Entropy Stable Gauss Collocation Methods
Finite-volume implementation of high-order essentially nonoscillatory schemes in two dimensions
Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations
Stability of correction procedure via reconstruction with summation-by-parts operators for Burgers' equation using a polynomial chaos approach
Multidimensional Summation-by-Parts Operators: General Theory and Application to Simplex Elements
Weak solutions of nonlinear hyperbolic equations and their numerical computation
Hyperbolic Conservation Laws in Continuum Physics

This page was built for publication: An entropy stable essentially oscillation-free discontinuous Galerkin method for hyperbolic conservation laws