General spline filters for discontinuous Galerkin solutions

DOI10.1016/j.camwa.2015.06.034zbMath1443.65014OpenAlexW1018898233WikidataQ43165051 ScholiaQ43165051MaRDI QIDQ2006249

Jörg Peters

Publication date: 8 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2015.06.034

zbMATH Keywords

polynomial reproductionfilter kernelnon-uniform B-splinespost-processing discontinuous GalerkinSIAC convolution

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (3)

Explicit Least-Degree Boundary Filters for Discontinuous Galerkin ⋮ Smoothness-increasing accuracy-conserving (SIAC) filtering for discontinuous Galerkin solutions over nonuniform meshes: superconvergence and optimal accuracy ⋮ Nonuniform Discontinuous Galerkin Filters via Shift and Scale

Cites Work

• Smoothness-increasing accuracy-conserving (SIAC) filters for discontinuous Galerkin solutions: application to structured tetrahedral meshes
• One-sided smoothness-increasing accuracy-conserving filtering for enhanced streamline integration through discontinuous fields
• Efficient implementation of smoothness-increasing accuracy-conserving (SIAC) filters for discontinuous Galerkin solutions
• On Polya frequency functions. IV: The fundamental spline functions and their limits
• Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Improving Discontinuous Galerkin Solutions
• Smoothness-Increasing Accuracy-Conserving (SIAC) Postprocessing for Discontinuous Galerkin Solutions over Structured Triangular Meshes
• Postprocessing for the Discontinuous Galerkin Method over Nonuniform Meshes
• Higher Order Local Accuracy by Averaging in the Finite Element Method
• The computation of discontinuous solutions of linear hyperbolic equations
• Enhanced accuracy by post-processing for finite element methods for hyperbolic equations
• Smoothness-Increasing Accuracy-Conserving Filters for Discontinuous Galerkin Solutions over Unstructured Triangular Meshes
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