Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows
In this article we consider the application of goal-oriented mesh adaptation to problems posed on complicated domains which may contain a huge number of local geometrical features, or micro-structures. Here, we exploit the composite variant of the discontinuous Galerkin finite element method based o...
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| Format: | Article |
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Elsevier
2014
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| Online Access: | https://eprints.nottingham.ac.uk/29670/ |
| _version_ | 1848793827065724928 |
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| author | Giani, Stefano Houston, Paul |
| author_facet | Giani, Stefano Houston, Paul |
| author_sort | Giani, Stefano |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | In this article we consider the application of goal-oriented mesh adaptation to problems posed on complicated domains which may contain a huge number of local geometrical features, or micro-structures. Here, we exploit the composite variant of the discontinuous Galerkin finite element method based on exploiting finite element meshes consisting of arbitrarily shaped element domains. Adaptive mesh refinement is based on constructing finite element partitions of the domain consisting of agglomerated elements which belong to different levels of an underlying hierarchical tree data structure. As an example of the application of these techniques, we consider the numerical approximation of the incompressible Navier-Stokes equations. Numerical experiments highlighting the practical performance of the proposed refinement strategy will be presented. |
| first_indexed | 2025-11-14T19:06:29Z |
| format | Article |
| id | nottingham-29670 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:06:29Z |
| publishDate | 2014 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-296702020-05-04T20:12:51Z https://eprints.nottingham.ac.uk/29670/ Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows Giani, Stefano Houston, Paul In this article we consider the application of goal-oriented mesh adaptation to problems posed on complicated domains which may contain a huge number of local geometrical features, or micro-structures. Here, we exploit the composite variant of the discontinuous Galerkin finite element method based on exploiting finite element meshes consisting of arbitrarily shaped element domains. Adaptive mesh refinement is based on constructing finite element partitions of the domain consisting of agglomerated elements which belong to different levels of an underlying hierarchical tree data structure. As an example of the application of these techniques, we consider the numerical approximation of the incompressible Navier-Stokes equations. Numerical experiments highlighting the practical performance of the proposed refinement strategy will be presented. Elsevier 2014-11 Article PeerReviewed Giani, Stefano and Houston, Paul (2014) Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows. Journal of Computational and Applied Mathematics, 270 . pp. 32-42. ISSN 0377-0427 Composite finite element methods Discontinuous Galerkin methods A posteriori error estimation Adaptivity Incompressible flows http://www.sciencedirect.com/science/article/pii/S0377042714001472 doi:10.1016/j.cam.2014.03.007 doi:10.1016/j.cam.2014.03.007 |
| spellingShingle | Composite finite element methods Discontinuous Galerkin methods A posteriori error estimation Adaptivity Incompressible flows Giani, Stefano Houston, Paul Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows |
| title | Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows |
| title_full | Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows |
| title_fullStr | Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows |
| title_full_unstemmed | Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows |
| title_short | Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows |
| title_sort | goal-oriented adaptive composite discontinuous galerkin methods for incompressible flows |
| topic | Composite finite element methods Discontinuous Galerkin methods A posteriori error estimation Adaptivity Incompressible flows |
| url | https://eprints.nottingham.ac.uk/29670/ https://eprints.nottingham.ac.uk/29670/ https://eprints.nottingham.ac.uk/29670/ |