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

DOI10.1007/s10915-009-9342-9zbMath1203.65186OpenAlexW2155279608MaRDI QIDQ618642

Robert M. Kirby, Hanieh Mirzaee, Jennifer K. Ryan

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-009-9342-9

zbMATH Keywords

high-order methodsdiscontinuous 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 (10)

Smoothness-increasing accuracy-conserving (SIAC) filtering and quasi-interpolation: a unified view ⋮ Shock regularization with smoothness-increasing accuracy-conserving Dirac-delta polynomial kernels ⋮ How to design a generic accuracy-enhancing filter for discontinuous Galerkin methods ⋮ One-sided position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering over uniform and non-uniform meshes ⋮ Efficient implementation of smoothness-increasing accuracy-conserving (SIAC) filters for discontinuous Galerkin solutions ⋮ Hexagonal smoothness-increasing accuracy-conserving filtering ⋮ Multi-Dimensional Filtering: Reducing the Dimension Through Rotation ⋮ Enhancing accuracy with a convolution filter: what works and why! ⋮ Residual estimates for post-processors in elliptic problems ⋮ Efficient algorithms for the line-SIAC filter

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