Goal-oriented error analysis of a DG scheme for a second gradient elastodynamics model

Jan Giesselmann, Tristan Pryer

Research output: Chapter or section in a book/report/conference proceedingChapter in a published conference proceeding

Abstract

In this note we propose a discontinuous Galerkin in space, continuous Galerkin in time method for a problem arising in elastodynamics with phase transition. We make use of a dispersion operator from (Bona et al., Math. Comput. 82(283), 1401–1432, 2013) [3] allowing us to construct a consistent scheme. We derive goal-oriented a posteriori error estimators for this scheme based on dual weighted residuals. We conclude by summarising extensive numerical experiments.

Original languageEnglish
Title of host publicationFinite Volumes for Complex Applications VIII—Methods and Theoretical Aspects - FVCA8 2017
EditorsClement Cances, Pascal Omnes
PublisherSpringer New York
Pages457-466
Number of pages10
ISBN (Print)9783319573960
DOIs
Publication statusPublished - 24 May 2017
Event8th International Symposium on Finite Volumes for Complex Applications - Methods and Theoretical Aspects, FVCA8 2017 - Lille, France
Duration: 12 Jun 201716 Jun 2017

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume199
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

Conference8th International Symposium on Finite Volumes for Complex Applications - Methods and Theoretical Aspects, FVCA8 2017
Country/TerritoryFrance
CityLille
Period12/06/1716/06/17

Keywords

  • A posteriori error analysis
  • Discontinuous Galerkin
  • Dual weighted residuals
  • Elastodynamics

ASJC Scopus subject areas

  • Mathematics(all)

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