Detecting Discontinuities Over Triangular Meshes Using Multiwavelets

Mathea Vuik, Jennifer Ryan

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

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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.
Original languageEnglish
Title of host publicationSpectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016
EditorsMarco L. Bittencourt, Ney A. Dumont, Jan S. Hesthaven
PublisherSpringer
Pages383-395
Number of pages13
Volume119
ISBN (Electronic)978-3-319-65870-4
ISBN (Print)978-3-319-65869-8
DOIs
Publication statusPublished - 2017
Event ICOSAHOM conference - Rio de Janeiro, Brazil
Duration: 27 Jun 20161 Jul 2016

Publication series

NameLecture Notes in Computational Science and Engineering
PublisherSpringer
Volume119
ISSN (Print)1439-7358

Conference

Conference ICOSAHOM conference
CountryBrazil
CityRio de Janeiro
Period27/06/161/07/16

Keywords

  • discontinuous Galerkin
  • Multi-wavelets
  • Hyperbolic Equations
  • Multi-Resolution analysis

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