On the use of the eXtended Finite Element Method with Quatree/Octree meshes

Grégory Legrain (1) , Raphaël Allais (1) , Patrice Cartraud (1)

1 GeM - Institut de Recherche en Génie Civil et Mécanique

This paper describes the use of the eXtended Finite Element Method in the context of quadtree/octree meshes. Particular attention is paid on 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.

Mots clés: eXtended Finite Element Method; Partition of Unity; Hanging nodes; Octree; Quadtree; Nitsche approach

Domaines: Mécanique des structures [physics.class-ph]; Mécanique des structures [physics.class-ph]

Grégory Legrain, Raphaël Allais, Patrice Cartraud. On the use of the eXtended Finite Element Method with Quatree/Octree meshes. International Journal for Numerical Methods in Engineering, 2010, pp.0. ⟨hal-00520034⟩