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

Antonietti, Paola F.; Houston, Paul

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• Peer Reviewed: Not Peer Reviewed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: https://nottingham-repository.worktribe.com/output/1014121
• Publisher URL: http://cab.unime.it/journals/index.php/congress/index
• Additional Information: Originally presented at the 9th SIMAI Congress, held in Rome, 15-19 September 2008.