A nodal integration technique for meshfree radial point interpolation method (NI-RPIM)
By Guirong Liu, Guiyong Zhang, Y. Y. Wang, Z. Zhong, Guangyao Li, Xu Han. 2007
136 citations recorded by the source corpus.
Subfields: Computational Mechanics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/6caf26eb256c453ddf87a075f3d1027899240d53
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
- Sheng-Wei Chi
- Cheng‐Tang Wu
- Ted Belytschko
- Xikui Li
- Masataka Koishi
- W. Hu
In Mechanics of Materials
- Michael Hillman
- Jiun-Shyan Chen
- Sheng-Wei Chi
- Cheng‐Tang Wu
- Masataka Koishi
- W. Hu
- Ted Belytschko
- Guirong Liu
Citations in the corpus
- Meshfree Methods: Progress Made after 20 Years (2017, unknown): “Various nodal and element strain smoothing techniques have been proposed by Liu et al. for finite elements, and are termed the smoothed finite-element meth-ods (Liu and Nguyen-Thoi 2010; Liu 2008; Liu et al. 2007a).”
- A displacement smoothing induced strain gradient stabilization for the meshfree Galerkin nodal integration method (2015, methodology): “This stabilization technique has been applied to several meshfree Galerkin nodal integration methods [8,23].”
- Consistent element‐free Galerkin method (2014, methodology): “[23] in their nodal integration for radial point interpolation method.”
- Second‐order accurate derivatives and integration schemes for meshfree methods (2012, methodology): “[7] developed a nodal integration technique in the framework of meshfree radial point interpolation method, and Taylor’s expansion is used for stabilization.”
- An accelerated, convergent, and stable nodal integration in Galerkin meshfree methods for linear and nonlinear mechanics (2016, background): “Least-squares stabilization [13] and Taylor series expansions [28, 30] alleviate the instability by including second order derivatives that are non-zero at nodes, although this places a computational burden on the method because of the expensive high order derivatives involved.”
- Stabilized and variationally consistent nodal integration for meshfree modeling of impact problems (2014, background): “[15] introduced a Taylor series expansion approach to alleviate the instability, but requires third order derivatives.”