Mixed hp-adaptive finite element methods for elasticity and coupled problems

In my dissertation, I developed mixed hp-finite element methods for linear elasticity with weakly imposed symmetry, which is based on Arnold-Falk-Winther's stable mixed finite elements. I have proved the h-stability of my method for meshes with arbitrary variable orders. In order to show the h-...

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Bibliographic Details
Main Author:	Qiu, Weifeng, 1978-
Format:	Others
Language:	English
Published:	2010
Subjects:	Mixed finite element method hp-adaptive finite element method Elasticity
Online Access:	http://hdl.handle.net/2152/ETD-UT-2010-08-1253

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record_format	oai_dc
spelling	ndltd-UTEXAS-oai-repositories.lib.utexas.edu-2152-ETD-UT-2010-08-12532015-09-20T16:55:08ZMixed hp-adaptive finite element methods for elasticity and coupled problemsQiu, Weifeng, 1978-Mixed finite element methodhp-adaptive finite element methodElasticityIn my dissertation, I developed mixed hp-finite element methods for linear elasticity with weakly imposed symmetry, which is based on Arnold-Falk-Winther's stable mixed finite elements. I have proved the h-stability of my method for meshes with arbitrary variable orders. In order to show the h-stability, I need an upper limit of the highest order of meshes, which can be an arbitrary nonnegative integer.text2010-10-08T22:11:28Z2010-10-08T22:11:34Z2010-10-08T22:11:28Z2010-10-08T22:11:34Z2010-082010-10-08August 20102010-10-08T22:11:34Zthesisapplication/pdfhttp://hdl.handle.net/2152/ETD-UT-2010-08-1253eng
collection	NDLTD
language	English
format	Others
sources	NDLTD
topic	Mixed finite element method hp-adaptive finite element method Elasticity
spellingShingle	Mixed finite element method hp-adaptive finite element method Elasticity Qiu, Weifeng, 1978- Mixed hp-adaptive finite element methods for elasticity and coupled problems
description	In my dissertation, I developed mixed hp-finite element methods for linear elasticity with weakly imposed symmetry, which is based on Arnold-Falk-Winther's stable mixed finite elements. I have proved the h-stability of my method for meshes with arbitrary variable orders. In order to show the h-stability, I need an upper limit of the highest order of meshes, which can be an arbitrary nonnegative integer. === text
author	Qiu, Weifeng, 1978-
author_facet	Qiu, Weifeng, 1978-
author_sort	Qiu, Weifeng, 1978-
title	Mixed hp-adaptive finite element methods for elasticity and coupled problems
title_short	Mixed hp-adaptive finite element methods for elasticity and coupled problems
title_full	Mixed hp-adaptive finite element methods for elasticity and coupled problems
title_fullStr	Mixed hp-adaptive finite element methods for elasticity and coupled problems
title_full_unstemmed	Mixed hp-adaptive finite element methods for elasticity and coupled problems
title_sort	mixed hp-adaptive finite element methods for elasticity and coupled problems
publishDate	2010
url	http://hdl.handle.net/2152/ETD-UT-2010-08-1253
work_keys_str_mv	AT qiuweifeng1978 mixedhpadaptivefiniteelementmethodsforelasticityandcoupledproblems
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Mixed hp-adaptive finite element methods for elasticity and coupled problems

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