@inproceedings{470f4788c4ab4fb787ae01f78c9a52e4,
title = "Detecting Discontinuities Over Triangular Meshes Using Multiwavelets",
abstract = "It is well known that solutions to nonlinear hyperbolic PDEs develop discontinuities in time. The generation of spurious oscillations in such regions can be prevented by applying a limiter in the troubled zones. In earlier work, we constructed a multiwavelet troubled-cell indicator for one and (tensor-product) two dimensions (SIAM J. Sci. Comput. 38(1):A84–A104, 2016). In this paper, we investigate multiwavelet troubled-cell indicators on structured triangular meshes. One indicator uses a problem-dependent parameter; the other indicator is combined with outlier detection.",
keywords = "discontinuous Galerkin, Multi-wavelets, Hyperbolic Equations, Multi-Resolution analysis",
author = "Mathea Vuik and Jennifer Ryan",
year = "2017",
doi = "10.1007/978-3-319-65870-4_27",
language = "English",
isbn = "978-3-319-65869-8",
volume = "119",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer",
pages = "383--395",
editor = "Bittencourt, {Marco L.} and Dumont, {Ney A.} and Hesthaven, {Jan S.}",
booktitle = "Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016",
address = "Germany",
note = "ICOSAHOM conference ; Conference date: 27-06-2016 Through 01-07-2016",
}