The meshless regular hybrid boundary node method for 2D linear elasticity

Engineering Analysis with Boundary Elements

Volumn 27, Issue 3, 2003, Pages 259-268

  Zhang, Jianming ^a   Yao, Zhenhan ^a   Tanaka, Masataka ^b  

^a TSINGHUA UNIVERSITY   (China)

^b SHINSHU UNIVERSITY   (Japan)

Author keywords

Hybrid boundary node method; Meshless; Moving least squares approximation

Indexed keywords

ALGORITHMS; BOUNDARY ELEMENT METHOD; COMPUTER AIDED DESIGN; CONVERGENCE OF NUMERICAL METHODS; GALERKIN METHODS; INTEGRAL EQUATIONS; INTEGRATION; INTERPOLATION; LEAST SQUARES APPROXIMATIONS;

LINEAR ELASTICITY; REGULAR HYBRID BOUNDARY NODE METHOD (RHBNM);

BOUNDARY VALUE PROBLEMS;

EID: 0037369044     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(02)00137-6     Document Type: Article

References (23)

1. Lucy L.B. A numerical approach to the testing of the fission hypothesis. Astronom J. 8:1977;1013-1024.
2. Nayroles B., Touzot G., Villon P. Generalizing the finite element method: diffuse approximation and diffuse element. Comput Mech. 10:1992;307-318.
3. Belytschko T., Lu Y.Y., Gu L. Element free Galerkin methods. Int J Numer Meth Engng. 37:1994;229-256.
4. Zhu T., Zhang J., Atluri S.N. A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach. Comput Mech. 21:1998;223-235.
5. Zhu T. A new meshless regular local boundary integral equation (MRLBIE) approach. Int J Numer Meth Engng. 46:1999;1237-1252.
6. Atluri S.N., Zhu T. A new meshless local Petrov-Galerkin approach in computational mechanics. Comput Mech. 22:1998;117-127.
7. Mukherjee Y.X., Mukherjee S. The boundary node method for potential problems. Int J Numer Meth Engng. 40:1997;797-815.
8. Zhang J.M., Yao Z.H., Li H. A hybrid boundary node method. Int J Numer Meth Engng. 53:2002;756-763.
9. Zhang J.M., Yao Z.H. A new meshless regular hybrid boundary node method. Comput Model Engng Sci. 2:2001;307-318.
10. Schnack E. A hybrid BEM model. Int J Numer Meth Engng. 24:1987;1015-1025.
11. DeFigueredo T.G.B., Brebbia C.A. A new hybrid displacement variational formulation of BEM for elastostatics. Brebbia C.A., Conner J.J. Advances in boundary elements. vol. 1:1989;47-57 Computational Mechanics Publications, Southampton.
12. Belytchko T., Krongauz Y., Organ D., Fleming M., Krysl P. Meshless methods: an overview and recent developments. Comput Meth Appl Mech Engng. 139:1996;3-47.
13. Lancaster P., Salkauskas K. Surfaces generated by moving least squares methods. Math Comput. 37:1981;141-158.
14. Atluri S.N., Kim H.G., Cho J.Y. A critical assessment of the truly Meshless Local Petrov-Galerkin (MLPG), and Local Boundary Integral Equation (LBIE) methods. Comput Mech. 24:1999;348-372.
15. Kothnur V.S., Mukherjee S., Mukherjee Y.X. Two-dimensional linear elasticity by the boundary node method. Int J Solid Struct. 36:1999;1129-1147.
16. Atluri S.N., Zhu T. The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics. Comput Mech. 25:2000;169-179.
17. Atluri S.N., Sladek J., Sladek V., Zhu T. The local boundary integral equation (LBIE) and its meshless implementation for linear elasticity. Comput Mech. 25:2000;180-198.
18. Yuuki R., Cao G.Q., Tamaki M. Efficient error estimation and adaptive meshing method for boundary element analysis. Adv Engng Software. 1992;279-287.
19. Patterson C., Sheikh M.A. A modified Trefftz method for three dimensional elasticity. Boundary Elements (Proceedings of the Fifth World Conference on BEM). 1983;427-437.
20. Zhang J.M., Yao Z.H. Bathe K.J. A new meshless regular hybrid boundary node method Proceedings of the first MIT Conference on Computational Fluid and Mechanics. Proceedings of the first MIT Conference on Computational Fluid and Mechanics. vol. 2:2001;1680-1682.
21. Zhang J.M., Yao Z.H. A new meshless method - hybrid boundary node method. Mingwu Y., Shuli S. Computational Mechanics in Engineering and Science. 2001;339-343 Peking University Press, Beijing. in Chinese.
22. Zhang J.M., Yao Z.H., Li H. A new hybrid boundary node method for two-dimensional potential problems. J Chongqing Jianzhou Univ. 22:2000;105-107. in Chinese.
23. Zhang J.M., Yao Z.H. Analysis of 2-D thin structures by the meshless regular hybrid boundary node method. Acta Mech Solida Sinica. 15:(1):2002;36-44.