Goal-oriented error analysis of a DG scheme for a second gradient elastodynamics modelGiesselmann, J. and Pryer, T. (2017) Goal-oriented error analysis of a DG scheme for a second gradient elastodynamics model. In: Cancès, C. and Omnes, P. (eds.) Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects: FVCA 8, Lille June 2017: conference proceedings. Springer Proceedings in Mathematics & Statistics (199). Springer, pp. 457-466. Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1007/978-3-319-57397-7_39 Abstract/SummaryIn 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 [BCKX11] 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.
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