A novel complex variable element-free Galerkin method for two-dimensional large deformation problems

Dongming Li; Funong Bai; Yumin Cheng; K. M. Liew

doi:10.1016/j.cma.2012.03.015

Author(s)

Dongming Li
Funong Bai
Yumin Cheng
K. M. Liew

Detail(s)

Original language	English
Pages (from-to)	1-10
Journal / Publication	Computer Methods in Applied Mechanics and Engineering
Volume	233-236
Publication status	Published - 1 Aug 2012

Link(s)

DOI	DOI https://doi.org/10.1016/j.cma.2012.03.015 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84860867778&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(92b8a43e-d49f-4a2c-b80d-318d898ef360).html

Abstract

Based on complex variable theory and moving least-squares (MLS) approximation, the improved complex variable moving least-squares (ICVMLS) approximation is discussed in this paper. Compared with complex variable moving least-squares (CVMLS) approximation, the function in the ICVMLS approximation has an explicit physics meaning. By using a new basis function, the ICVMLS approximation can obtain greater precision and computational efficiency. Based on the ICVMLS approximation, an improved complex variable element-free Galerkin (ICVEFG) method, which belongs to a novel element free Galerkin (EFG) method, is presented for two-dimensional large deformation problems. The Galerkin weak form is employed to obtain the equations, while the penalty method is used to apply the essential boundary conditions. Then the corresponding formulae of the ICVEFG method for two-dimensional large deformation problems are obtained. Compared with the EFG method, the ICVEFG method has greater precision and efficiency. © 2012 Elsevier B.V.

Research Area(s)

Element-free Galerkin (EFG) method, Improved complex variable element-free Galerkin (ICVEFG) method, Improved complex variable moving least-squares (ICVMLS) approximation, Large deformation, Meshless method, Moving least-squares (MLS) approximation

Citation Format(s)

[ RIS ] [ BibTeX ]

A novel complex variable element-free Galerkin method for two-dimensional large deformation problems. / Li, Dongming; Bai, Funong; Cheng, Yumin et al.
In: Computer Methods in Applied Mechanics and Engineering, Vol. 233-236, 01.08.2012, p. 1-10.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Li, D, Bai, F, Cheng, Y & Liew, KM 2012, 'A novel complex variable element-free Galerkin method for two-dimensional large deformation problems', Computer Methods in Applied Mechanics and Engineering, vol. 233-236, pp. 1-10. https://doi.org/10.1016/j.cma.2012.03.015

Li, D., Bai, F., Cheng, Y., & Liew, K. M. (2012). A novel complex variable element-free Galerkin method for two-dimensional large deformation problems. Computer Methods in Applied Mechanics and Engineering, 233-236, 1-10. https://doi.org/10.1016/j.cma.2012.03.015

Li D, Bai F, Cheng Y, Liew KM. A novel complex variable element-free Galerkin method for two-dimensional large deformation problems. Computer Methods in Applied Mechanics and Engineering. 2012 Aug 1;233-236:1-10. doi: 10.1016/j.cma.2012.03.015

Li, Dongming ; Bai, Funong ; Cheng, Yumin et al. / A novel complex variable element-free Galerkin method for two-dimensional large deformation problems. In: Computer Methods in Applied Mechanics and Engineering. 2012 ; Vol. 233-236. pp. 1-10.