@inproceedings{e6df769b60604f1eb5ac808bebb1d6c8,
title = "Smoothness-increasing accuracy-conserving (SIAC) filters in fourier space",
abstract = "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).",
author = "Liangyue Ji and Ryan, {Jennifer K.}",
year = "2015",
month = jan,
day = "1",
doi = "10.1007/978-3-319-19800-2_38",
language = "English (US)",
isbn = "9783319197999",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer- Verlag",
pages = "415--423",
editor = "Kirby, {Robert M.} and Martin Berzins and Hesthaven, {Jan S.}",
booktitle = "Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2014, Selected papers from the ICOSAHOM",
note = "10th International Conference on Spectral and High-Order Methods, ICOSAHOM 2014 ; Conference date: 23-06-2014 Through 27-06-2014",
}