An efficient finite element method for embedded interface problems

An efficient finite element method for embedded interface problems

A stabilized finite element method based on the Nitsche technique for enforcing constraints leads to an efficient computational procedure for embedded interface problems. We consider cases in which the jump of a field across the interface is given, as well as cases in which the primary field on the...

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Main Authors: Dolbow, J, Harari, I
Other Authors: Dolbow, John E
Format: Others
Published: 2009
Online Access:http://hdl.handle.net/10161/7213
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spelling ndltd-DUKE-oai-dukespace.lib.duke.edu-10161-72132017-01-08T03:35:46ZAn efficient finite element method for embedded interface problemsDolbow, JHarari, IA stabilized finite element method based on the Nitsche technique for enforcing constraints leads to an efficient computational procedure for embedded interface problems. We consider cases in which the jump of a field across the interface is given, as well as cases in which the primary field on the interface is given. The finite element mesh need not be aligned with the interface geometry. We present closed-form analytical expressions for interfacial stabilization terms and simple procedures for accurate flux evaluations. Representative numerical examples demonstrate the effectiveness of the proposed methodology. Copyright © 2008 John Wiley & Sons, Ltd.DissertationDolbow, John E2009-04-09Journal Article229 - 252International Journal for Numerical Methods in Engineering, 2009, 78 (2), pp. 229 - 2520029-5981http://hdl.handle.net/10161/72131097-0207International Journal for Numerical Methods in Engineering10.1002/nme.2486
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description A stabilized finite element method based on the Nitsche technique for enforcing constraints leads to an efficient computational procedure for embedded interface problems. We consider cases in which the jump of a field across the interface is given, as well as cases in which the primary field on the interface is given. The finite element mesh need not be aligned with the interface geometry. We present closed-form analytical expressions for interfacial stabilization terms and simple procedures for accurate flux evaluations. Representative numerical examples demonstrate the effectiveness of the proposed methodology. Copyright © 2008 John Wiley & Sons, Ltd. === Dissertation
author2 Dolbow, John E
author_facet Dolbow, John E
Dolbow, J
Harari, I
author Dolbow, J
Harari, I
spellingShingle Dolbow, J
Harari, I
An efficient finite element method for embedded interface problems
author_sort Dolbow, J
title An efficient finite element method for embedded interface problems
title_short An efficient finite element method for embedded interface problems
title_full An efficient finite element method for embedded interface problems
title_fullStr An efficient finite element method for embedded interface problems
title_full_unstemmed An efficient finite element method for embedded interface problems
title_sort efficient finite element method for embedded interface problems
publishDate 2009
url http://hdl.handle.net/10161/7213
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AT hararii anefficientfiniteelementmethodforembeddedinterfaceproblems
AT dolbowj efficientfiniteelementmethodforembeddedinterfaceproblems
AT hararii efficientfiniteelementmethodforembeddedinterfaceproblems
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