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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| Main Author: | |
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| Format: | Thesis |
| Language: | English |
| Published: |
2014
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| Subjects: | |
| Online Access: | http://eprints.usm.my/60820/1/24%20Pages%20from%2000001780499.pdf |
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| Summary: | 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. |
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