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On the use of the extended finite element method with quadtree/octree meshes
Author(s) -
Legrain G.,
Allais R.,
Cartraud P.
Publication year - 2011
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.3070
Subject(s) - polygon mesh , octree , quadtree , finite element method , computer science , context (archaeology) , volume mesh , computational science , displacement (psychology) , computer graphics (images) , gravitational singularity , mesh generation , geometry , algorithm , mathematics , structural engineering , engineering , mathematical analysis , geology , psychology , paleontology , psychotherapist
This 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.