Enhancing accuracy with a convolution filter: what works and why! (Q2245259)

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English	Enhancing accuracy with a convolution filter: what works and why!	scientific article

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title

Enhancing accuracy with a convolution filter: what works and why! (English)

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15 November 2021

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zbMATH Keywords

smoothness-increasing accuracy-conserving (SIAC) filter

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superconvergence

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discontinuous Galerkin

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convolution filtering

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.compfluid.2020.104727

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cites work

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

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Postprocessing for the Discontinuous Galerkin Method over Nonuniform Meshes

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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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Higher Order Local Accuracy by Averaging in the Finite Element Method

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

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

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Smoothness-increasing accuracy-conserving (SIAC) filtering for discontinuous Galerkin solutions over nonuniform meshes: superconvergence and optimal accuracy

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One-sided position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering over uniform and non-uniform meshes

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Smoothness-Increasing Accuracy-Conserving (SIAC) Postprocessing for Discontinuous Galerkin Solutions over Structured Triangular Meshes

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Quantification of errors introduced in the numerical approximation and implementation of smoothness-increasing accuracy conserving (SIAC) filtering of discontinuous Galerkin (DG) fields

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Efficient implementation of smoothness-increasing accuracy-conserving (SIAC) filters for discontinuous Galerkin solutions

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Multi-Dimensional Filtering: Reducing the Dimension Through Rotation

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One-sided smoothness-increasing accuracy-conserving filtering for enhanced streamline integration through discontinuous fields

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Shock regularization with smoothness-increasing accuracy-conserving Dirac-delta polynomial kernels

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Multi-element SIAC filter for shock capturing applied to high-order discontinuous Galerkin spectral element methods

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Multi-dimensional quadrature of singular and discontinuous functions

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

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Q5756148

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Implementing Spectral Methods for Partial Differential Equations

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

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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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Smoothness-increasing accuracy-conserving (SIAC) filtering for discontinuous Galerkin solutions: improved errors versus higher-order accuracy

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

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

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Q4952284

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

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Dispersion and dissipation errors of two fully discrete discontinuous Galerkin methods

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An analysis of the spectrum of the discontinuous Galerkin method

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

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Smoothness-increasing accuracy-conserving (SIAC) filters for discontinuous Galerkin solutions: application to structured tetrahedral meshes

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A High-Order Dirac-Delta Regularization with Optimal Scaling in the Spectral Solution of One-Dimensional Singular Hyperbolic Conservation Laws

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Regularization of singularities in the weighted summation of Dirac-delta functions for the spectral solution of hyperbolic conservation laws

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.COMPFLUID.2020.104727

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Sitelinks

Mathematics(1 entry)

mardi Publication:2245259