hp-Version Discontinuous Galerkin Approximations of the Elastodynamics Equation

  • Paola F. AntoniettiEmail author
  • Alberto Ferroni
  • Ilario Mazzieri
  • Alfio Quarteroni
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 119)


In this paper we extend the results contained in Antonietti et al. (J Sci Comput 68(1):143-170, 2016) and consider the problem of approximating the elastodynamics equation by means of hp-version discontinuous Galerkin methods. For the resulting semi-discretized schemes we derive stability bounds as well as hp error estimates in the energy and L 2-norms. Our theoretical estimates are verified through three dimensional numerical experiments.



Paola F. Antonietti and Ilario Mazzieri have been partially supported by the research grant no. 2015-0182 funded by Fondazione Cariplo and Regione Lombardia. Part of this work has been completed while Paola F. Antonietti was visiting the Institut Henri Poincaré (IHP), Paris. She thanks the Institute for the kind hospitality.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Paola F. Antonietti
    • 1
    Email author
  • Alberto Ferroni
    • 1
  • Ilario Mazzieri
    • 1
  • Alfio Quarteroni
    • 2
  1. 1.MOX, Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly
  2. 2.CMCS, Ecole Polytechnique Federale de Lausanne (EPFL)LausanneSwitzerland

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