An Introduction to Meshfree Methods and Their Programming
By Guirong Liu, Yuantong T. Gu. 2005
1,315 citations recorded by the source corpus.
Subfields: Computational Mechanics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/49fa2996fe9bccddac4bcf471cf44f5f3179dc7f
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
- Guirong Liu
- Trung Nguyen-Thoi
- Hung Nguyen-Xuan
- Guiyong Zhang
- Khin Yong Lam
- Guangyao Li
- Z. Zhong
- K. Y. Dai
In Numerical Analysis
- Fawang Liu
- Ian L Turner
- Pinghui Zhuang
- Elyas Shivanian
- Guirong Liu
- Guiyong Zhang
- Mategaonkar Meenal
- T. Eldho
Citations in the corpus
- A Relaxed HSS Preconditioner for Saddle Point Problems from Meshfree Discretization (2013, methodology): “A lot of meshfree methods have been proposed; see [27] for a general discussion.”
- A thin plate formulation without rotation DOFs based on the radial point interpolation method and triangular cells (2011, neutral): “A very detailed introduction on many types of mesh-free methods for different problems can be found in books by Liu [10] and Liu and Gu [11].”
- Time‐dependent fractional advection–diffusion equations by an implicit MLS meshless method (2011, methodology): “It has been found that the MLS is accurate and stable for arbitrarily distributed nodes [35] for many problems in computational mechanics.”
- An enriched radial point interpolation method (e-RPIM) for analysis of crack tip fields (2010, methodology): “To overcome these shortcomings, the concept of meshless or meshfree method has been proposed [2].”
- Meshless Local Petrov-Galerkin Collocation Method for Two-dimensional Heat Conduction Problems (2007, methodology): “In this patch test and following two cases, we select a support size of 2.5 times of the nodal distance (Liu and Gu (2005)), and the quadratic basis is used in the MLPG collocation method.”
- A nodal integration technique for meshfree radial point interpolation method (NI-RPIM) (2007, methodology): “Therefore, there is no singularity problem in the RPIM because only a small number of nodes (usually 10–40 for 2D problems) are used in the local support domain (Liu, 2002; Liu and Gu, 2005).”
- An efficient adaptive analysis procedure for certified solutions with exact bounds of strain energy for elasticity problems (2008, neutral): “The PIM obtains the approximation by forcing the interpolation function to be satisfied at each scattered node within the local support domain of the point of interest [12].”