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L$^2$ Error Estimate to Smooth Solutions of High Order Runge--Kutta Discontinuous Galerkin Method for Scalar Nonlinear Conservation Laws with and without Sonic Points - MaRDI portal

L$^2$ Error Estimate to Smooth Solutions of High Order Runge--Kutta Discontinuous Galerkin Method for Scalar Nonlinear Conservation Laws with and without Sonic Points (Q5093636)

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scientific article; zbMATH DE number 7565244

Language	Label	Description	Also known as
English	L$^2$ Error Estimate to Smooth Solutions of High Order Runge--Kutta Discontinuous Galerkin Method for Scalar Nonlinear Conservation Laws with and without Sonic Points	scientific article; zbMATH DE number 7565244

Statements

scholarly article

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L$^2$ Error Estimate to Smooth Solutions of High Order Runge--Kutta Discontinuous Galerkin Method for Scalar Nonlinear Conservation Laws with and without Sonic Points (English)

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SIAM Journal on Numerical Analysis

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publication date

29 July 2022

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zbMATH Keywords

error estimate

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Runge-Kutta discontinuous Galerkin method

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nonlinear conservation law

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numerical flux

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sonic point

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MaRDI profile type

MaRDI publication profile

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Dynamic models for large eddy simulation of compressible flows with a high order DG method

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

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The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case

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TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems

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

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The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws

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The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems

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On a Cell Entropy Inequality for Discontinuous Galerkin Methods

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An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation

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Dynamic \(p\)-adaptive Runge-Kutta discontinuous Galerkin methods for the shallow water equations

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

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<i>A priori</i>error estimates to smooth solutions of the third order Runge–Kutta discontinuous Galerkin method for symmetrizable systems of conservation laws

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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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A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes

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

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Efficient implementation of essentially nonoscillatory shock-capturing schemes

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Riemann Solvers and Numerical Methods for Fluid Dynamics

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A locally \(p\)-adaptive approach for large eddy simulation of compressible flows in a DG framework

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Superconvergence analysis of the Runge-Kutta discontinuous Galerkin methods for a linear hyperbolic equation

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Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection-diffusion and KdV equations

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Error Estimate of the Fourth-Order Runge--Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations

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The L$^2$-norm Stability Analysis of Runge--Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations

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Local error estimates for Runge-Kutta discontinuous Galerkin methods with upwind-biased numerical fluxes for a linear hyperbolic equation in one-dimension with discontinuous initial data

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Error Estimates to Smooth Solutions of Runge--Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws

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Error Estimates to Smooth Solutions of Runge–Kutta Discontinuous Galerkin Method for Symmetrizable Systems of Conservation Laws

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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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Identifiers

zbMATH Open document ID

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10.1137/21M1435495

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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:5093636

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