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ToolsJi, Liangyue and Ryan, Jennifer (2015) Smoothness-Increasing Accuracy-Conserving (SIAC) Filters in Fourier Space. In: Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014. Lecture Notes in Computational Science and Engineering, 106 . Springer, pp. 415-423. ISBN 978-3-319-19799-9
Full text not available from this repository.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).
| Item Type: | Book Section |
|---|---|
| Uncontrolled Keywords: | discontinuous galerkin,siac filtering,spectral methods,filtering |
| Faculty \ School: | Faculty of Science > School of Mathematics |
| UEA Research Groups: | Faculty of Science > Research Groups > Fluid and Solid Mechanics |
| Depositing User: | Pure Connector |
| Date Deposited: | 05 Feb 2016 13:01 |
| Last Modified: | 21 Oct 2022 23:51 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/56968 |
| DOI: |
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