SIAC Filtering for Nonlinear Hyperbolic Equations

DOI10.1007/978-3-319-12307-3_41zbMath1331.65140OpenAlexW2418589816MaRDI QIDQ3459737

Xiao-Zhou Li, Jennifer K. Ryan

Publication date: 11 January 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://ueaeprints.uea.ac.uk/id/eprint/56972/1/ammcs_2013_liryan_revised_new.pdf

zbMATH Keywords

numerical examplesfilteringnonlinear hyperbolic conservation lawserror reductiondiscontinuous Galerkin approximationnonuniform/unstructured meshes

Mathematics Subject Classification ID

Wave equation (35L05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (1)

How to design a generic accuracy-enhancing filter for discontinuous Galerkin methods

Cites Work

• Unnamed Item
• One-sided position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering over uniform and non-uniform meshes
• Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
• Negative-order norm estimates for nonlinear hyperbolic conservation laws
• Higher Order Local Accuracy by Averaging in the Finite Element Method
• The computation of discontinuous solutions of linear hyperbolic equations
• High Order Local Approximations to Derivatives in the Finite Element Method
• Enhanced accuracy by post-processing for finite element methods for hyperbolic equations

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