A local Heaviside weighted meshless method for two-dimensional solids using radial basis functions

By J. Xiao, Michael McCarthy. 2003

58 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/f3551f34b88c92c538b019d1688455b37987a624

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Ivo Babuska
2. Uday Banerjee
3. John E. Osborn
4. Michael McCarthy
5. J. Xiao
6. John W. Gillespie
7. D. Gilhooley
8. Romesh C. Batra

In Mechanics of Materials

1. Uday Banerjee
2. Ivo Babuska
3. John E. Osborn
4. Romesh C. Batra
5. Michael McCarthy
6. J. Xiao
7. John W. Gillespie
8. D. Gilhooley

Citations in the corpus

• GENERALIZED FINITE ELEMENT METHODS — MAIN IDEAS, RESULTS AND PERSPECTIVE (2004, methodology): “…method using test functions with small supports (instead of Dirac functions as mentioned in the last paragraph), have also been reported in the engineering literature, but without rigorous mathematical analysis [Atluri and Shen (2002); Liu (2002); Onate et al. (2001); Xiao and McCarthy (2003)].”
• Analysis of thick functionally graded plates by using higher-order shear and normal deformable plate theory and MLPG method with radial basis functions (2007, methodology): “Furthermore, when RBFs are used in the weak formulation of a problem over a local domain (such as in an MLPG method [34–36]) rather than over a global domain, the dense system matrices associated with the global interpolation are avoided.”