One-sided position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering over uniform and non-uniform meshes

DOI10.1007/s10915-014-9946-6zbMath1326.65135OpenAlexW2089424413MaRDI QIDQ887008

Robert M. Kirby, Kees Vuik, Xiao-Zhou Li, Jennifer K. Ryan

Publication date: 27 October 2015

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

Full work available at URL: https://ueaeprints.uea.ac.uk/id/eprint/53335/1/JOMP_D_14_00017R2.pdf

zbMATH Keywords

numerical exampleerror analysisdiscontinuous Galerkin methodsuperconvergenceB-splinenon-uniform meshespost-processingSIAC filteringuniform meshessmoothly varying meshessmoothness-increasing accuracy-conserving filter

Mathematics Subject Classification ID

Numerical computation using splines (65D07) 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) 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) Initial value problems for first-order hyperbolic equations (35L03)

Related Items (14)

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Cites Work

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