An Hr-Adaptive Discontinuous Galerkin Method for Advection-Diffusion Problems

Autori

  • Paola Francesca Antonietti Dipartimento di Matematica, Politecnico di Milano
  • Paul Houston School of Mathematical Sciences, University of Nottingham

DOI:

https://doi.org/10.1685/

Parole chiave:

Discontinuous Galerkin methods, advection-diffusion problems, moving mesh methods

Abstract

We propose an adaptive mesh refinement strategy based on exploiting a combination of a pre-processing mesh re-distribution algorithm employing a harmonic mapping technique, and standard (isotropic) mesh subdivision for discontinuous Galerkin approximations of advection-diffusion problems. Numerical experiments indicate that the resulting adaptive strategy can effciently reduce the computed discretization error by clustering the nodes in the computational mesh where the analytical solution undergoes rapid variation. [DOI: 10.1685/CSC09244] About DOI

Biografie autore

  • Paola Francesca Antonietti, Dipartimento di Matematica, Politecnico di Milano
    Ricercatore MOX-Dipartimento di Matematica "F. Brioschi", Politecnico di Milano (ITALY)
  • Paul Houston, School of Mathematical Sciences, University of Nottingham
    Professor School of Mathematical Sciences, University of Nottingham (UK)

Dowloads

File supplementari

Pubblicato

2009-08-12

Fascicolo

V. 3 (2009)

Sezione

Articles

Licenza

Authors who submit to this journal agree to the following terms: a) Authors retain copyright over their work, while allowing the SIMAI to place this accepted work under a Creative Commons Attribution License (CC license), which allows others to freely access, use, and share the work, with an acknowledgement of the work's authorship. b) Authors are able to waive the terms of the CC license and enter into separate, additional contractual arrangements for the non-exclusive distribution and subsequent publication of this work (e.g., publish a revised version in a journal, post it to an institutional repository or publish it in a book). with an acknowledgement of its initial publication on “Communications to SIMAI Congress”. c) In addition, authors are encouraged to post and share their work online (e.g., in institutional repositories or on their website).