In this paper we extend the results contained in [1] 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 a suitable energy norm. Our theoretical estimates are verified through three dimensions numerical experiments.

Hp–version discontinuous Galerkin approximations of the elastodynamics equation

P. F. Antonietti;I. Mazzieri;Alfio Maria Quarteroni
2017

Abstract

In this paper we extend the results contained in [1] 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 a suitable energy norm. Our theoretical estimates are verified through three dimensions numerical experiments.
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016
978-3-319-65869-8
File in questo prodotto:
File Dimensione Formato  
33-2016.pdf

Accesso riservato

: Pre-Print (o Pre-Refereeing)
Dimensione 3.11 MB
Formato Adobe PDF
3.11 MB Adobe PDF   Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1036930
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 6
  • ???jsp.display-item.citation.isi??? ND
social impact