An hr-adaptive discontinuous Galerkin method for advection-diffusion problems

Antonietti, Paola F. and Houston, Paul (2009) An hr-adaptive discontinuous Galerkin method for advection-diffusion problems. Communications to SIMAI Congress, 3 . ISSN 1827-9015 (Submitted)

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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 efficiently reduce the computed discretization error by clustering the nodes in the computational mesh where the analytical solution undergoes rapid variation.

Item Type: Article
Additional Information: Originally presented at the 9th SIMAI Congress, held in Rome, 15-19 September 2008.
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Depositing User: Houston, Paul
Date Deposited: 16 Feb 2009 15:45
Last Modified: 23 Jun 2011 06:54
URI: http://eprints.nottingham.ac.uk/id/eprint/1062

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