International journal for numerical methods in engineering, 2011-04, Vol.86 (4-5), p.528-548
2011
Details
- Autor(en) / Beteiligte
- Titel
- Optimal convergence analysis for the extended finite element method
- Ist Teil von
- International journal for numerical methods in engineering, 2011-04, Vol.86 (4-5), p.528-548
- Ort / Verlag
- Chichester, UK: John Wiley & Sons, Ltd
- Erscheinungsjahr
- 2011
- Link zum Volltext
- Quelle
- Alma/SFX Local Collection
- Beschreibungen/Notizen
- We establish some optimal a priori error estimates on some variants of the eXtended Finite Element Method (Xfem), namely the Xfem with a cut‐off function and the standard Xfem with a fixed enrichment area. Both the Lamé system (homogeneous isotropic elasticity) and the Laplace problem are considered. The convergence of the numerical stress intensity factors is also investigated. Some numerical experiments corroborating the theoretical results are presented. Copyright © 2011 John Wiley & Sons, Ltd.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0029-5981, 1097-0207eISSN: 1097-0207DOI: 10.1002/nme.3092Titel-ID: cdi_hal_primary_oai_HAL_hal_00339853v2
- Format
- –
- Schlagworte
- Convergence, Copyrights, Engineering Sciences, error estimates, Estimates, Exact sciences and technology, extended finite element method, Finite element method, Fracture mechanics (crack, fatigue, damage...), Fundamental areas of phenomenology (including applications), Mathematical analysis, Mathematics, Mechanics, Numerical Analysis, Optimization, Physics, Solid mechanics, Static elasticity (thermoelasticity...), stress intensity factors, Structural and continuum mechanics, Structural mechanics, Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)