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

DOI10.1007/978-3-319-19800-2_38zbMath1352.65349OpenAlexW2401794638MaRDI QIDQ2831229

Jennifer K. Ryan, Liangyue Ji

Publication date: 2 November 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-19800-2_38

zbMATH Keywords

discontinuous Galerkin methodsFourier spacespectral methodssmoothness-increasing accuracy-conserving filters

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (4)

How to design a generic accuracy-enhancing filter for discontinuous Galerkin methods ⋮ Superconvergence and the numerical flux: a study using the upwind-biased flux in discontinuous Galerkin methods ⋮ Enhancing accuracy with a convolution filter: what works and why! ⋮ Multi-element SIAC filter for shock capturing applied to high-order discontinuous Galerkin spectral element methods

Cites Work

• Local derivative post-processing for the discontinuous Galerkin method
• Family of spectral filters for discontinuous problems
• Advanced numerical approximation of nonlinear hyperbolic equations. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C. I. M. E.) held in Cetraro, Italy, June 23--28, 1997
• Superconvergence in Galerkin finite element methods
• Superconvergent error estimates for position-dependent smoothness-increasing accuracy-conserving (SIAC) post-processing of discontinuous Galerkin solutions
• Spectral Methods for Time-Dependent Problems
• Maximum-Norm Interior Estimates for Ritz-Galerkin Methods
• Higher Order Local Accuracy by Averaging in the Finite Element Method
• High Order Local Approximations to Derivatives in the Finite Element Method
• Extension of a Post Processing Technique for the Discontinuous Galerkin Method for Hyperbolic Equations with Application to an Aeroacoustic Problem
• Enhanced accuracy by post-processing for finite element methods for hyperbolic equations

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