Coupling of element free Galerkin and hybrid boundary element methods using modified variational formulation

Computational Mechanics

Volumn 26, Issue 2, 2000, Pages 166-173

  Liu, G R ^a   Gu, Y T ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; FORTRAN (PROGRAMMING LANGUAGE); GALERKIN METHODS; VARIATIONAL TECHNIQUES;

ELEMENT FREE GALERKIN (EFG); HYBRID BOUNDARY ELEMENTS (HBE);

STRESS ANALYSIS;

EID: 0034247445     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660000164     Document Type: Article

References (20)

1. Atluri SN, Zhu T (1998) A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Comput. Mech. 22: 117-127
2. Belytschko T, Lu YY, Gu L (1994) Element-Free Galerkin methods. Int. J. Numer. Meth. Eng. 37: 229-256
3. Belytschko T, Organ D (1995) Coupled finite element-element-free Galerkin method. Comput. Mech. 17: 186-195
4. Brebbia CA, Georgiou P (1979) Combination of boundary and finite elements in elastostatics. Appl. Math. Model. 3: 212-219
5. DeFigueiredo TGB, Brebbia CA (1989) A new hybrid displacement variational formulation of BEM for elastostatics. In: Brebbia CA (ed.) Advances in Boundary Elements, vol. 1, 33-42. Springer-Verlag, Berlin
6. DeFigueiredo TGB (1991) A New Boundary Element Formulation in Engineering. Springer-Verlag, Berlin
7. Dumont NA (1988) The hybrid boundary element method. In: Brebbia CA (ed.) Boundary Elements IX, vol. 1, 117-130. Springer-Verlag, Berlin
8. Gu YT, Liu GR (1999) A coupled element free Galerkin/boundary element method for stress analysis of two-dimension solid. Comput. Meth. Appl. Mech. Eng. (in press)
9. Hegen D (1996) Element-free Galerkin methods in combination with finite element approaches. Comput. Meth. Appl. Mech. Eng. 135: 143-166
10. Jin ZL, Gu YT, Zheng YL (1996) Hybrid boundary elements for potential and elastic problem. Proceedings of the 7th Japan-China Symposium on Boundary Element Methods, Japan, 143-152
11. Krongauz Y, Belytschko T (1996) Enforcement of essential boundary conditions in meshless approximations using finite element. Comput. Meth. Appl. Mech. Eng. 131: 133-145
12. Lancaster P, Salkauskas K (1981) Surfaces generated by moving least squares methods. Math. Comput. 37: 141-158
13. Liu GR (1999) A point assembly method for stress analysis for solid. In: Shim VPW (ed.) Impact response of materials and structures: the proceedings of the 3rd International Symposium on Impact Engineering, Singapore, 475-480
14. Liu GR, Achenbach JD, Kim JO, Li ZL (1992) A combined finite element method/boundary element method technique for V(z) curves of anisotropic-lyer/substrate configurations. J. Acoust. Soc. Am. 5: 2734-2740
15. Liu GR, Gu YT (1999) A point interpolation method for two-dimensional solid. Int. J. Numer. Meth. Eng. (in press)
16. Liu GR, Yang KY (1998) A penalty method for enforce essential boundary conditions in element free Galerkin method. The Proceeding of the 3rd HPC Asia'98, Singapore, 715-721
17. Liu WK, Jun S, Zhang YF (1995) Reproducing kernel particle methods. Int. J. Num. Meth. Eng. 20: 1081-1106
18. Roark RJ, Young WC (1975) Formulas for Stress and Strain. McGraw-Hill, New york
19. Timoshenko SP, Goodier JN (1970) Theory of Elasticity, 3rd Edition. McGraw-Hill, New York
20. Zhu T, Zhang JD, Atluri SN (1998) A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach. Comput. Mech. 21: 223-235