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

DOI10.1007/s10915-013-9748-2zbMath1301.65107OpenAlexW2090366532MaRDI QIDQ461249

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

Publication date: 10 October 2014

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

Full work available at URL: https://doi.org/10.1007/s10915-013-9748-2

zbMATH Keywords

numerical examplessuperconvergencehyperbolic equationpost-processingdiscontinuous Galerkinaccuracy enhancementSIAC filteringsmoothness-increasing accuracy-conserving filtersstructured tetrahedral meshes

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) First-order hyperbolic equations (35L02)

Related Items (12)

Smoothness-increasing accuracy-conserving (SIAC) filtering and quasi-interpolation: a unified view ⋮ Some recent developments in superconvergence of discontinuous Galerkin methods for time-dependent partial differential equations ⋮ Non-linear stabilization of high-order flux reconstruction schemes via Fourier-spectral filtering ⋮ Accuracy-enhancement of discontinuous Galerkin methods for PDEs containing high order spatial derivatives ⋮ Hexagonal smoothness-increasing accuracy-conserving filtering ⋮ Error estimates and post-processing of local discontinuous Galerkin method for Schrödinger equations ⋮ Multi-Dimensional Filtering: Reducing the Dimension Through Rotation ⋮ Enhancing accuracy with a convolution filter: what works and why! ⋮ Energy norm error estimates for averaged discontinuous Galerkin methods: multidimensional case ⋮ General spline filters for discontinuous Galerkin solutions ⋮ Residual estimates for post-processors in elliptic problems ⋮ Efficient algorithms for the line-SIAC filter

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