The Hp-Adaptive Finite Element Method For Three Dimensional Multiphysics
Although the hp-adaptive strategy is well implemented in two dimensional problems, its convergence performance in three-dimensional multiphysics problems particularly with tetrahedral mesh is still yet to be fully matured. This thesis presents a code development of a fully automatic hp-adaptive f...
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| Format: | Thesis |
| Language: | English |
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2014
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| Online Access: | http://eprints.usm.my/60820/1/24%20Pages%20from%2000001780499.pdf |
| _version_ | 1811138885591236608 |
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| author | Kamaludin, Siti Sarah |
| author_facet | Kamaludin, Siti Sarah |
| author_sort | Kamaludin, Siti Sarah |
| collection | USM |
| description | Although the hp-adaptive strategy is well implemented in two dimensional problems, its
convergence performance in three-dimensional multiphysics problems particularly with
tetrahedral mesh is still yet to be fully matured. This thesis presents a code development of a
fully automatic hp-adaptive finite element method for steady-state multi physics problems in
three dimensions. The adaptivity is achieved by a systematic combination of mesh
refinements using bisecting approach(/Z) and polynomial order(p) extensions of the
approximation functions. Mesh adaptation process is implemented such that conformity
among the elements is preserved. The adaptive strategy is driven by a residual-based a
posteriori error estimator computed element-wise, where a scheme has been developed to
identify elements that need to undergo refinement processes. |
| first_indexed | 2024-09-25T03:57:18Z |
| format | Thesis |
| id | usm.eprints-60820 |
| institution | Universiti Sains Malaysia |
| language | English |
| last_indexed | 2024-09-25T03:57:18Z |
| publishDate | 2014 |
| record_format | dspace |
| spelling | usm.eprints-608202024-07-12T02:35:40Z http://eprints.usm.my/60820/ The Hp-Adaptive Finite Element Method For Three Dimensional Multiphysics Kamaludin, Siti Sarah TJ1-1570 Mechanical engineering and machinery Although the hp-adaptive strategy is well implemented in two dimensional problems, its convergence performance in three-dimensional multiphysics problems particularly with tetrahedral mesh is still yet to be fully matured. This thesis presents a code development of a fully automatic hp-adaptive finite element method for steady-state multi physics problems in three dimensions. The adaptivity is achieved by a systematic combination of mesh refinements using bisecting approach(/Z) and polynomial order(p) extensions of the approximation functions. Mesh adaptation process is implemented such that conformity among the elements is preserved. The adaptive strategy is driven by a residual-based a posteriori error estimator computed element-wise, where a scheme has been developed to identify elements that need to undergo refinement processes. 2014-03 Thesis NonPeerReviewed application/pdf en http://eprints.usm.my/60820/1/24%20Pages%20from%2000001780499.pdf Kamaludin, Siti Sarah (2014) The Hp-Adaptive Finite Element Method For Three Dimensional Multiphysics. Masters thesis, Perpustakaan Hamzah Sendut. |
| spellingShingle | TJ1-1570 Mechanical engineering and machinery Kamaludin, Siti Sarah The Hp-Adaptive Finite Element Method For Three Dimensional Multiphysics |
| title | The Hp-Adaptive Finite Element Method For Three Dimensional Multiphysics |
| title_full | The Hp-Adaptive Finite Element Method For Three Dimensional Multiphysics |
| title_fullStr | The Hp-Adaptive Finite Element Method For Three Dimensional Multiphysics |
| title_full_unstemmed | The Hp-Adaptive Finite Element Method For Three Dimensional Multiphysics |
| title_short | The Hp-Adaptive Finite Element Method For Three Dimensional Multiphysics |
| title_sort | hp adaptive finite element method for three dimensional multiphysics |
| topic | TJ1-1570 Mechanical engineering and machinery |
| url | http://eprints.usm.my/60820/1/24%20Pages%20from%2000001780499.pdf |
| work_keys_str_mv | AT kamaludinsitisarah thehpadaptivefiniteelementmethodforthreedimensionalmultiphysics AT kamaludinsitisarah hpadaptivefiniteelementmethodforthreedimensionalmultiphysics |