Smoothness-increasing accuracy-conserving (SIAC) filters in fourier space

Liangyue Ji, Jennifer K. Ryan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations


It has been noted in the past that discontinuous Galerkin methods can be viewed as a low order multi-domain Spectral method with penalty term (Hesthaven et al., Spectral methods for time-dependent problems, Cambridge University Press, Cambridge, 2007). It is then logical to first ask how to relate filters in Spectral Methods to Smoothness-Increasing Accuracy-Conservin (SIAC) filters, which are typically applied to approximations obtained via the discontinuous Galerkin methods. In this article we make a first effort to relate Smoothness-Increasing Accuracy-Conserving filtering to filtering for Spectral Methods. We frame this discussion in the context of Vandeven (J Sci Comput 6:159–192, 1991).

Original languageEnglish (US)
Title of host publicationSpectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2014, Selected papers from the ICOSAHOM
EditorsRobert M. Kirby, Martin Berzins, Jan S. Hesthaven
PublisherSpringer- Verlag
Number of pages9
ISBN (Print)9783319197999
StatePublished - Jan 1 2015
Event10th International Conference on Spectral and High-Order Methods, ICOSAHOM 2014 - Salt Lake City, United States
Duration: Jun 23 2014Jun 27 2014

Publication series

NameLecture Notes in Computational Science and Engineering
ISSN (Print)1439-7358


Other10th International Conference on Spectral and High-Order Methods, ICOSAHOM 2014
Country/TerritoryUnited States
CitySalt Lake City


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