Quadrature for meshless methods
By Ivo Babuska, Uday Banerjee, John E. Osborn, Q. Li. 2008
61 citations recorded by the source corpus.
Subfields: Computational Mechanics, Electrical and Electronic Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/511fe4cdf4988865488883dde50a9775da228898
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
- Michael Hillman
- Jiun-Shyan Chen
- Ted Belytschko
- Marcus Olavi Rüter
- Yan Liu
- Timon Rabczuk
- Sheng-Wei Chi
- Stéphane P.A. Bordas
In Electrical and Electronic Engineering
- Michael Hillman
- Jiun-Shyan Chen
- Ted Belytschko
- Marcus Olavi Rüter
- Yan Liu
- Sheng-Wei Chi
- Guirong Liu
- Xikui Li
In Mechanics of Materials
- Michael Hillman
- Jiun-Shyan Chen
- Ted Belytschko
- Marcus Olavi Rüter
- Yan Liu
- Timon Rabczuk
- Guirong Liu
- Sheng-Wei Chi
Citations in the corpus
- Integration of singular enrichment functions in the generalized/extended finite element method for three‐dimensional problems (2009, unknown): “in [4].”
- Meshfree Methods: Progress Made after 20 Years (2017, unknown): “Mathematical analysis ofthe effectofthe accuracyofdomainintegrationhas beenprovided, where a zero-row sum condition and corrected quadrature scheme to achieve VC conditions was proposed (Babu š ka et al. 2008, 2009).”
- Addressing Integration Error for Polygonal Finite Elements Through Polynomial Projections: A Patch Test Connection (2013, unknown): “In a recent series of studies, Babuska, Banerjee and co-workers [2, 3, 46] have shown that, under a zero-sum condition or satisfaction of a discrete Green’s identity, the order of quadrature rule has to be increased with refinement in order to retain optimal rates of convergence for meshless…”
- An arbitrary order variationally consistent integration for Galerkin meshfree methods (2013, methodology): “Error analysis of quadrature in meshfree methods has been carried out in [27, 28], where a zero row-sum condition for improving convergence behavior has been introduced, and a correction on diagonal terms of the stiffness matrix to achieve the zero row-sum condition has been proposed.”
- A new support integration scheme for the weakform in mesh‐free methods (2010, background): “[23] have also recently studied the integration constraints.”