Multi-Dimensional Filtering: Reducing the Dimension Through Rotation

DOI10.1137/16M1097845zbMath1448.65155arXiv1610.02317OpenAlexW2530691423MaRDI QIDQ5364199

J. Docampo-Sánchez, Jennifer K. Ryan, Robert M. Kirby, Mahsa Mirzargar

Publication date: 4 October 2017

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.02317

zbMATH Keywords

postprocessingerror reductiondiscontinuous Galerkinaccuracy enhancementSIAC filtering

Mathematics Subject Classification ID

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

Related Items (11)

Capitalizing on superconvergence for more accurate multi-resolution discontinuous Galerkin methods ⋮ How to design a generic accuracy-enhancing filter for discontinuous Galerkin methods ⋮ Enhanced MultiResolution Analysis for MultiDimensional Data Utilizing Line Filtering Techniques ⋮ Hexagonal smoothness-increasing accuracy-conserving filtering ⋮ Magic SIAC Toolbox: A Codebase of Effective, Efficient, and Flexible Filters ⋮ Enhancing accuracy with a convolution filter: what works and why! ⋮ Adaptive characteristic length for L-SIAC filtering of FEM data ⋮ Superconvergence of local discontinuous Galerkin methods with generalized alternating fluxes for 1D linear convection-diffusion equations ⋮ Smoothness-increasing accuracy-conserving (SIAC) filtering for discontinuous Galerkin solutions over nonuniform meshes: superconvergence and optimal accuracy ⋮ Residual estimates for post-processors in elliptic problems ⋮ Efficient algorithms for the line-SIAC filter

Uses Software

• Nektar++

Cites Work

• Smoothness-increasing accuracy-conserving (SIAC) filtering and quasi-interpolation: a unified view
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• Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Improving Discontinuous Galerkin Solutions
• 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
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• Extension of a Post Processing Technique for the Discontinuous Galerkin Method for Hyperbolic Equations with Application to an Aeroacoustic Problem
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