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

Antonietti, Paola F.; Houston, Paul

Authors

Paola F. Antonietti paola.antonietti@polimi.it

PAUL HOUSTON paul.houston@nottingham.ac.uk
Professor of Computational and Applied Maths



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.

Citation

Antonietti, P. F., & Houston, P. An hr-adaptive discontinuous Galerkin method for advection-diffusion problems. Manuscript submitted for publication

Journal Article Type Article
Deposit Date Feb 16, 2009
Journal Communications to SIMAI Congress
Electronic ISSN 1827-9015
Peer Reviewed Not Peer Reviewed
Volume 3
Public URL http://eprints.nottingham.ac.uk/id/eprint/1062
Publisher URL http://cab.unime.it/journals/index.php/congress/index
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf
Additional Information Originally presented at the 9th SIMAI Congress, held in Rome, 15-19 September 2008.

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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