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Article . 2010
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International Journal for Numerical Methods in Engineering
Article . 2011 . Peer-reviewed
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Article . 2011
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https://dx.doi.org/10.1002/nme...
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On the use of the extended finite element method with quadtree/octree meshes

descriptionPublicationkeyboard_double_arrow_right Article 07 Feb 2011 France English Publisher:WileyJournal:International Journal for Numerical Methods in Engineering, volume 86, pages 717-743 (issn: 0029-5981, eissn: 1097-0207, Copyright policy )
Authors: Legrain, Grégory; Allais, Raphaël; Cartraud, Patrice;

doi: 10.1002/nme.3070

On the use of the extended finite element method with quadtree/octree meshes

Abstract

AbstractThis paper describes the use of the extended finite element method in the context of quadtree/octree meshes. Particular attention is paid to the enrichment of hanging nodes that inevitably arise with these meshes. An approach for enforcing displacement continuity along hanging edges and faces is proposed and validated on various numerical examples (holes, material interfaces, and singularities) in both 2D and 3D. Copyright © 2010 John Wiley & Sons, Ltd.

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Keywords

quadtree, Nitsche approach, Finite element methods applied to problems in solid mechanics, [PHYS.MECA.STRU] Physics [physics]/Mechanics [physics]/Structural mechanics [physics.class-ph], Partition of Unity, partition of unity, Quadtree, eXtended Finite Element Method, nitsche approach, octree, [PHYS.MECA.STRU]Physics [physics]/Mechanics [physics]/Structural mechanics [physics.class-ph], hanging nodes, Hanging nodes, [SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph], Octree, extended finite element method, [SPI.MECA.STRU] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph]

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
47
Top 10%
Top 10%
Top 10%
Green