Superconvergence and the numerical flux: a study using the upwind-biased flux in discontinuous Galerkin methods (Q2665564)

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English	Superconvergence and the numerical flux: a study using the upwind-biased flux in discontinuous Galerkin methods	scientific article

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instance of

scholarly article

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title

Superconvergence and the numerical flux: a study using the upwind-biased flux in discontinuous Galerkin methods (English)

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Communications on Applied Mathematics and Computation

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publication date

19 November 2021

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zbMATH Keywords

discontinuous Galerkin

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smoothness-increasing accuracy-conserving (SIAC) filtering

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superconvergence

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s42967-019-00049-2

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cites work

A superconvergent local discontinuous Galerkin method for elliptic problems

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A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems

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Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods

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Superconvergence of Discontinuous Galerkin Methods for Linear Hyperbolic Equations

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

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

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Enhanced accuracy by post-processing for finite element methods for hyperbolic equations

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

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Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: eigen-structure analysis based on Fourier approach

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Eigensolution analysis of the discontinuous Galerkin method with nonuniform grids: I. One space dimension

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Superconvergent error estimates for position-dependent smoothness-increasing accuracy-conserving (SIAC) post-processing of discontinuous Galerkin solutions

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Accuracy-enhancement of discontinuous Galerkin solutions for convection-diffusion equations in multiple-dimensions

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Smoothness-Increasing Accuracy-Conserving (SIAC) Filters in Fourier Space

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An analysis of the spectrum of the discontinuous Galerkin method

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

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Discontinuous Galerkin methods for nonlinear scalar hyperbolic conservation laws: divided difference estimates and accuracy enhancement

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Divided difference estimates and accuracy enhancement of discontinuous Galerkin methods for nonlinear symmetric systems of hyperbolic conservation laws

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Extension of a Post Processing Technique for the Discontinuous Galerkin Method for Hyperbolic Equations with Application to an Aeroacoustic Problem

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Q4952284

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Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Improving Discontinuous Galerkin Solutions

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Dispersion and dissipation errors of two fully discrete discontinuous Galerkin methods

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Discontinuous Galerkin method for hyperbolic equations involving $\delta $-singularities: negative-order norm error estimates and applications

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Analysis of Optimal Superconvergence of Discontinuous Galerkin Method for Linear Hyperbolic Equations

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AN ANALYSIS OF THREE DIFFERENT FORMULATIONS OF THE DISCONTINUOUS GALERKIN METHOD FOR DIFFUSION EQUATIONS

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Numerical resolution of discontinuous Galerkin methods for time dependent wave equations

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Identifiers

zbMATH Open document ID

1476.65240

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Mathematics Subject Classification ID

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10.1007/S42967-019-00049-2

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Mathematics(1 entry)

mardi Publication:2665564