An hr-adaptive discontinuous Galerkin method for advection-diffusion problems
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...
| Main Authors: | , |
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| Format: | Article |
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Open Journals Systems
2009
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| Online Access: | https://eprints.nottingham.ac.uk/1062/ |
| _version_ | 1848790533113118720 |
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| author | Antonietti, Paola F. Houston, Paul |
| author_facet | Antonietti, Paola F. Houston, Paul |
| author_sort | Antonietti, Paola F. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:14:07Z |
| format | Article |
| id | nottingham-1062 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:14:07Z |
| publishDate | 2009 |
| publisher | Open Journals Systems |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-10622020-05-04T20:26:34Z https://eprints.nottingham.ac.uk/1062/ An hr-adaptive discontinuous Galerkin method for advection-diffusion problems Antonietti, Paola F. Houston, Paul 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. Open Journals Systems 2009 Article NonPeerReviewed 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) http://cab.unime.it/journals/index.php/congress/index |
| spellingShingle | Antonietti, Paola F. Houston, Paul An hr-adaptive discontinuous Galerkin method for advection-diffusion problems |
| title | An hr-adaptive discontinuous Galerkin method for advection-diffusion problems |
| title_full | An hr-adaptive discontinuous Galerkin method for advection-diffusion problems |
| title_fullStr | An hr-adaptive discontinuous Galerkin method for advection-diffusion problems |
| title_full_unstemmed | An hr-adaptive discontinuous Galerkin method for advection-diffusion problems |
| title_short | An hr-adaptive discontinuous Galerkin method for advection-diffusion problems |
| title_sort | hr-adaptive discontinuous galerkin method for advection-diffusion problems |
| url | https://eprints.nottingham.ac.uk/1062/ https://eprints.nottingham.ac.uk/1062/ |