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

Authors

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

DOI:

https://doi.org/10.1685/

Keywords:

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

Author Biographies

  • 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)

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Published

2009-08-12

Issue

Vol. 3 (2009)

Section

Articles

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