A Pre-processing Moving Mesh Method for Discontinuous Galerkin Approximations of Advection-Diffusion-Reaction Problems
We propose a pre-processing mesh re-distribution algorithm based upon harmonic maps employed in conjunction with discontinuous Galerkin approximations of advection-diffusion-reaction problems. Extensive two-dimensional numerical experiments with different choices of monitor functions, including mon...
| Main Authors: | , |
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| Format: | Article |
| Online Access: | https://eprints.nottingham.ac.uk/713/ |
| _version_ | 1848790466536931328 |
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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 a pre-processing mesh re-distribution algorithm based upon harmonic maps employed in conjunction with discontinuous Galerkin approximations of advection-diffusion-reaction problems. Extensive two-dimensional numerical experiments with different choices of monitor functions, including monitor functions derived from goal-oriented a posteriori error indicators are presented. The examples presented clearly demonstrate the capabilities and the benefits of combining our pre-processing mesh movement algorithm with both uniform, as well as, adaptive isotropic and anisotropic mesh refinement. |
| first_indexed | 2025-11-14T18:13:04Z |
| format | Article |
| id | nottingham-713 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:13:04Z |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-7132020-05-04T20:34:24Z https://eprints.nottingham.ac.uk/713/ A Pre-processing Moving Mesh Method for Discontinuous Galerkin Approximations of Advection-Diffusion-Reaction Problems Antonietti, Paola F. Houston, Paul We propose a pre-processing mesh re-distribution algorithm based upon harmonic maps employed in conjunction with discontinuous Galerkin approximations of advection-diffusion-reaction problems. Extensive two-dimensional numerical experiments with different choices of monitor functions, including monitor functions derived from goal-oriented a posteriori error indicators are presented. The examples presented clearly demonstrate the capabilities and the benefits of combining our pre-processing mesh movement algorithm with both uniform, as well as, adaptive isotropic and anisotropic mesh refinement. Article NonPeerReviewed Antonietti, Paola F. and Houston, Paul A Pre-processing Moving Mesh Method for Discontinuous Galerkin Approximations of Advection-Diffusion-Reaction Problems. International Journal of Numerical Analysis and Modeling . (Submitted) |
| spellingShingle | Antonietti, Paola F. Houston, Paul A Pre-processing Moving Mesh Method for Discontinuous Galerkin Approximations of Advection-Diffusion-Reaction Problems |
| title | A Pre-processing Moving Mesh Method for Discontinuous Galerkin Approximations of Advection-Diffusion-Reaction Problems |
| title_full | A Pre-processing Moving Mesh Method for Discontinuous Galerkin Approximations of Advection-Diffusion-Reaction Problems |
| title_fullStr | A Pre-processing Moving Mesh Method for Discontinuous Galerkin Approximations of Advection-Diffusion-Reaction Problems |
| title_full_unstemmed | A Pre-processing Moving Mesh Method for Discontinuous Galerkin Approximations of Advection-Diffusion-Reaction Problems |
| title_short | A Pre-processing Moving Mesh Method for Discontinuous Galerkin Approximations of Advection-Diffusion-Reaction Problems |
| title_sort | pre-processing moving mesh method for discontinuous galerkin approximations of advection-diffusion-reaction problems |
| url | https://eprints.nottingham.ac.uk/713/ |