@inproceedings{f53b645e68494f9c9384a375a9f72338,
title = "Goal-oriented error analysis of a DG scheme for a second gradient elastodynamics model",
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.",
keywords = "A posteriori error analysis, Discontinuous Galerkin, Dual weighted residuals, Elastodynamics",
author = "Jan Giesselmann and Tristan Pryer",
note = "Funding Information: T.P. gratefully acknowledges support of the EPSRC grant EP/P000835/1. J.G. gratefully acknowledges support of the Baden-W{\"u}rttemberg fundation for the project “Numerical Methods for Multi-Phase Flows with Strongly Varying Mach Numbers”. Publisher Copyright: {\textcopyright} Springer International Publishing AG 2017.; 8th International Symposium on Finite Volumes for Complex Applications - Methods and Theoretical Aspects, FVCA8 2017 ; Conference date: 12-06-2017 Through 16-06-2017",
year = "2017",
month = may,
day = "24",
doi = "10.1007/978-3-319-57397-7_39",
language = "English",
isbn = "9783319573960",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer New York",
pages = "457--466",
editor = "Clement Cances and Pascal Omnes",
booktitle = "Finite Volumes for Complex Applications VIII—Methods and Theoretical Aspects - FVCA8 2017",
address = "USA United States",
}