Study of Some Optimal XFEM Type Methods

DOI10.1007/978-1-4020-6095-3_2zbMath1323.74079OpenAlexW24376448MaRDI QIDQ3447741

Michel Salaün, Patrick Laborde, Elie Chahine, Julien Pommier, Yves Renard

Publication date: 28 October 2015

Published in: Advances in Meshfree Techniques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4020-6095-3_2

zbMATH Keywords

fracture finite elements XFEM method optimal rate of convergence pointwise matching

Mathematics Subject Classification ID

Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (1)

A Particle-Partition of Unity Method Part VIII: Hierarchical Enrichment

Uses Software

• XFEM
• Getfem++
• gmm++

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The partition of unity finite element method: basic theory and applications
• An extended finite element method with higher-order elements for curved cracks
• A quasi-optimal convergence result for fracture mechanics with XFEM
• Arbitrary discontinuities in finite elements
• Improved implementation and robustness study of the X-FEM for stress analysis around cracks
• Crack tip enrichment in the XFEM using a cutoff function
• THE PARTITION OF UNITY METHOD
• On the construction of blending elements for local partition of unity enriched finite elements
• Extended finite element method for three-dimensional crack modelling
• Non-planar 3D crack growth by the extended finite element and level sets-Part I: Mechanical model
• A finite element method for crack growth without remeshing
• High-order extended finite element method for cracked domains

This page was built for publication: Study of Some Optimal XFEM Type Methods