Coupling of the improved element-free Galerkin and boundary element methods for two-dimensional elasticity problems

Engineering Analysis with Boundary Elements

Volumn 32, Issue 2, 2008, Pages 100-107

  Zhang, Zan ^a   Liew, K M ^a   Cheng, Yumin ^b  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b SHANGHAI UNIVERSITY   (China)

Author keywords

Boundary element method; Elasticity; Element free Galerkin (EFG) method; Improved FEG (IEFG) method; Improved moving least squares (IMLS) approximation; Meshless method

Indexed keywords

BOUNDARY ELEMENT METHOD; COMPUTATIONAL EFFICIENCY; LEAST SQUARES APPROXIMATIONS; PROBLEM SOLVING; TWO DIMENSIONAL;

ELEMENT-FREE GALERKIN (EFG) METHOD; IMPROVED FEG (IEFG) METHOD; IMPROVED MOVING LEAST-SQUARES (IMLS); MESHLESS METHOD;

ELASTICITY;

EID: 36649017509     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2007.06.006     Document Type: Article

References (20)

1. Beer G., and Watson J.O. Infinite boundary elements. Int J Numer Methods Eng 28 (1989) 1233-1247
2. Beer G. An efficient numerical method for modeling initiation and propagation of cracks along material interfaces. In J Numer Methods Eng 36 (1993) 3579-3595
3. Belytschko T., Krongauz Y., Organ D., Fleming M., and Krysl P. Meshless method: an overview and recent developments. Comput Methods App Mech Eng 139 (1996) 3-47
4. Idelsohn R.S., and Onate E. To mesh or not to mesh. That is the question.... Comp Methods App Mech Eng 95 (2006) 4681-4696
5. Lancaster P., and Salkauskas K. Surface generated by moving least squares methods. Mathe Comp 37 (1981) 141-158
6. Liew K.M., Huang Y.Q., and Reddy J.N. Moving least squares differential quadrature method and its application to the analysis of shear deformable plates. Int J Numer Methods Eng 56 (2003) 2331-2351
7. Liew K.M., Zou G.P., and Rajendran S. A spline strip kernel particle method and its application to two-dimensional elasticity problems. Int J Numer Methods Eng 57 (2003) 599-616
8. Liew K.M., Cheng Y.M., and Kitipornchai S. Boundary element-free method (BEFM) for two-dimensional elastodynamic analysis using Laplace transform. Int J Numer Methods Eng 64 12 (2005) 1610-1627
9. Liew K.M., Cheng Y.M., and Kitipornchai S. Boundary element-free method (BEFM) and its application to two-dimensional elasticity problems. Int J Numer Methods Eng 65 8 (2006) 1310-1332
10. Belytschko T., and Organ D. Coupled finite element-element-free Galerkin method. Comput Mech 17 (1995) 186-195
11. Hegen D. Element-free Galerkin methods in combination with finite element approaches. Compt Methods Appl Mech Eng 135 (1996) 143-166
12. Huerta A., and Fernandez-Mendez S. Enrichment and coupling of the finite element and meshless methods. Int J Numer Methods in Eng 48 (2000) 1615-1636
13. Rao B.N., and Rahman S. A coupled meshless-finite element method for fracture analysis. Int J Pressure Vessels Piping 78 (2001) 647-657
14. Xiao Q.Z., and Dhanasekar M. Coupling of FE and EFG using collocation approach. Adv Eng Software 33 (2002) 507-515
15. Liu G.R., and Gu Y.T. Meshless local petrov-Galerkin (MLPG) method in combination with finite element and boundary element approaches. Comput Mech 26 (2000) 536-546
16. Chen T., and Raju I.S. A coupled finite element and meshless local Petrov-Galerkin method for two-dimensional potential problems. Comp Methods Appl Mech Eng 192 (2003) 4533-4550
17. Liu G.R., and Gu Y.T. Coupling of element-free Galerkin and hybrid boundary element methods using modified variational formulation. Comput Mech 26 2 (2000) 166-173
18. Gu Y.T., and Liu G.R. A coupled element-free Galerkin/boundary element method for stress analysis of two-dimension solid. Comp Methods Appl Mech Eng 190 (2001) 4405-4419
19. Brebbia C.A., and Dominguez J. Boundary elements: an introductory course. 2nd ed (1992), McGraw-Hill Inc., New York
20. Timoshenko S.P., and Goodier J.N. Theory of elasticity. 3rd ed (1970), McGraw-Hill Inc., New York