Optimal convergence analysis for the extended finite element method
By Serge Nicaise, Yves Renard, E. Chahine. 2011
74 citations recorded by the source corpus.
Subfields: Computational Mechanics, Electrical and Electronic Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/6326c0a7f0858432361679a9a74b069e76b2f171
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Stéphane P.A. Bordas
- Carlos Armando Duarte
- Timon Rabczuk
- Varun Gupta
- Uday Banerjee
- Cosmin Anitescu
- Ivo Babuska
- Ted Belytschko
In Electrical and Electronic Engineering
- Carlos Armando Duarte
- Varun Gupta
- Uday Banerjee
- Stéphane P.A. Bordas
- Timon Rabczuk
- Ivo Babuska
- Yves Renard
- J. Pereira
In Mechanics of Materials
- Stéphane P.A. Bordas
- Carlos Armando Duarte
- Timon Rabczuk
- Varun Gupta
- Uday Banerjee
- Natarajan Sukumar
- Ivo Babuska
- Ted Belytschko
Citations in the corpus
- Extended finite element method in computational fracture mechanics: a retrospective examination (2015, unknown): “Even though the stress field is singular, geometric enrichment allows the method to yield the same rates of convergence that are available for smooth problems (Strang and Fix 1973; Nicaise et al. 2011).”
- XLME interpolants, a seamless bridge between XFEM and enriched meshless methods (2014, result): “This agrees with the a priori error estimates for XFEM established in the literature (see [35]).”
- A stabilized Lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies (2012, methodology): “In [35], the following lemma is proved: Lemma 3.”
- A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics (2013, result): “This is in agreement with a-priori error estimates presented in [32].”