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:	Kamaludin, Siti Sarah
Format:	Thesis
Language:	English
Published:	2014
Subjects:	TJ1-1570 Mechanical engineering and machinery
Online Access:	http://eprints.usm.my/60820/1/24%20Pages%20from%2000001780499.pdf
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id	my-usm-ep.60820
record_format	uketd_dc
spelling	my-usm-ep.608202024-07-12T02:35:40Z The Hp-Adaptive Finite Element Method For Three Dimensional Multiphysics 2014-03 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 http://eprints.usm.my/60820/ http://eprints.usm.my/60820/1/24%20Pages%20from%2000001780499.pdf application/pdf en public masters Perpustakaan Hamzah Sendut Pusat Pengajian Kejuruteraan Mekanikal
institution	Universiti Sains Malaysia
collection	USM Institutional Repository
language	English
topic	TJ1-1570 Mechanical engineering and machinery
spellingShingle	TJ1-1570 Mechanical engineering and machinery Kamaludin, Siti Sarah The Hp-Adaptive Finite Element Method For Three Dimensional Multiphysics
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.
format	Thesis
qualification_level	Master's degree
author	Kamaludin, Siti Sarah
author_facet	Kamaludin, Siti Sarah
author_sort	Kamaludin, Siti Sarah
title	The Hp-Adaptive Finite Element Method For Three Dimensional Multiphysics
title_short	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_sort	hp-adaptive finite element method for three dimensional multiphysics
granting_institution	Perpustakaan Hamzah Sendut
granting_department	Pusat Pengajian Kejuruteraan Mekanikal
publishDate	2014
url	http://eprints.usm.my/60820/1/24%20Pages%20from%2000001780499.pdf
_version_	1804889003772608512

The Hp-Adaptive Finite Element Method For Three Dimensional Multiphysics

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