Discontinuous Galerkin Methods for Nonlinear Scalar Conservation Laws: Generalized Local Lax--Friedrichs Numerical Fluxes (Q5210534)

scientific article; zbMATH DE number 7154054

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English	Discontinuous Galerkin Methods for Nonlinear Scalar Conservation Laws: Generalized Local Lax--Friedrichs Numerical Fluxes	scientific article; zbMATH DE number 7154054

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instance of

scholarly article

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title

Discontinuous Galerkin Methods for Nonlinear Scalar Conservation Laws: Generalized Local Lax--Friedrichs Numerical Fluxes (English)

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SIAM Journal on Numerical Analysis

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publication date

21 January 2020

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zbMATH Keywords

nonlinear conservation laws

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discontinuous Galerkin methods

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generalized local Lax-Friedrichs fluxes

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optimal error estimates

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MaRDI profile type

MaRDI publication profile

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cites work

Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation

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Conservative, discontinuous Galerkin–methods for the generalized Korteweg–de Vries equation

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The Mathematical Theory of Finite Element Methods

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Explicit Runge–Kutta Schemes and Finite Elements with Symmetric Stabilization for First-Order Linear PDE Systems

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Superconvergence of Discontinuous Galerkin methods based on upwind-biased fluxes for 1D linear hyperbolic equations

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Optimal a priori error estimates for the $hp$-version of the local discontinuous Galerkin method for convection--diffusion problems

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Third order maximum-principle-satisfying direct discontinuous Galerkin methods for time dependent convection diffusion equations on unstructured triangular meshes

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$L^2$ stable discontinuous Galerkin methods for one-dimensional two-way wave equations

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Application of generalized Gauss–Radau projections for the local discontinuous Galerkin method for linear convection-diffusion equations

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Local analysis of the local discontinuous Galerkin method with generalized alternating numerical flux for one-dimensional singularly perturbed problem

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Q4162607

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TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework

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Explicit Finite Element Methods for Symmetric Hyperbolic Equations

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Discontinuous Galerkin methods with optimal $L^2$ accuracy for one dimensional linear PDEs with high order spatial derivatives

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Strong Stability-Preserving High-Order Time Discretization Methods

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On a Cell Entropy Inequality for Discontinuous Galerkin Methods

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Analysis of discontinuous Galerkin methods with upwind-biased fluxes for one dimensional linear hyperbolic equations with degenerate variable coefficients

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A local discontinuous Galerkin method for the Burgers-Poisson equation

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The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems

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Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations

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Superconvergence of Discontinuous Galerkin Methods for Scalar Nonlinear Conservation Laws in One Space Dimension

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Riemann Solvers, the Entropy Condition, and Difference

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Discontinuous Galerkin Method for Time-Dependent Problems: Survey and Recent Developments

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Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge–Kutta Discontinuous Galerkin Method for Scalar Conservation Laws

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full work available at URL

https://doi.org/10.1137/19m1243798

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Identifiers

zbMATH Open document ID

1436.65142

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DOI

10.1137/19M1243798

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:5210534