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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主要作者: Kamaludin, Siti Sarah
格式: Thesis
语言:English
出版: 2014
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在线阅读:http://eprints.usm.my/60820/1/24%20Pages%20from%2000001780499.pdf
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总结: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.