Meshless analysis of potential problems in three dimensions with the hybrid boundary node method

International Journal for Numerical Methods in Engineering

Volumn 59, Issue 9, 2004, Pages 1147-1166

  Zhang, Jianming ^a   Tanaka, Masataka ^a   Matsumoto, Toshiro ^a  

^a SHINSHU UNIVERSITY   (Japan)

Author keywords

Hybrid boundary node method; Meshless methods; Moving least squares approximation

Indexed keywords

CODES (SYMBOLS); INTEGRAL EQUATIONS; LEAST SQUARES APPROXIMATIONS;

MOVING LEAST SQUARES (MLS) APPROXIMATION;

BOUNDARY VALUE PROBLEMS;

LEAST SQUARES METHOD;

EID: 1542434257     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.904     Document Type: Article

References (20)

1. Nayroles B, Touzot G, Villon P. Generalizing the finite element method: diffuse approximation and diffuse element. Computational Mechanics 1992; 10:307-318.
2. Belytchko T, Lu YY, Go L. Element free Galerkin methods. International Journal for Numerical Methods in Engineering 1994; 37:229-256.
3. Belytchko T, Krongauz Y, Organ D Fleming M, Krysl P. Meshless methods: an overview and recent developments. Computer Methods in Applied Mechanics and Engineering 1996; 139:3-47.
4. Li G, Aluru NR. Boundary cloud method: a combined scattered point/boundary integral approach for boundary-only analysis. Computer Methods in Applied Mechanics and Engineering 2002; 191:2337-2370.
5. Chen W, Tanaka M. New insights into boundary-only and domain-type RBF method. International Journal of Nonlinear Science and Numerical Simulation 2000: 1(3):145-151.
6. Aluru NR. A reproducing kernel particle method for meshless analysis of microelectromechanical systems. Computational Mechanics 1999; 23:324-338.
7. Zhu T, Zhang J, Atluri SN. A local boundary integral equation (LBIE) method in computation mechanics, and a meshless discretization approach. Computational Mechanics 1998; 21:223-235.
8. Atluri SN, Zhu T. A new meshless local Petrov-Galerkin approach in computational mechanics. Computational Mechanics 1998; 22:117-127.
9. Mukherjee YX, Mukherjee S. The boundary node method for potential problems. International Journal for Numerical Methods in Engineering 1997; 40:797-815.
10. Zhang JM, Yao ZH, Li H. A hybrid boundary node method. International Journal for Numerical Methods in Engineering 2002; 53:751-763.
11. Zhang JM, Yao ZH. Meshless regular hybrid boundary node method. Computer Modeling in Engineering and Sciences 2001; 2:307-318.
12. Zhang JM, Yao ZH, Tanaka M. The meshless regular hybrid boundary node method for 2D linear elasticity. Engineering Analysis with Boundary Elements 2003; 27:259-268.
13. Zhang JM, Yao ZH. Analysis of 2D thin structures by the meshless regular hybrid boundary node method. Acta Mechanica Sinica 2002; 15:36-44.
14. Schnack E. A hybrid BEM model. International Journal for Numerical Methods in Engineering 1987; 24:1015-1025.
15. Dumount NA. The hybrid boundary element method. Proceedings of the 9th International Conference on BEM, Stuttgart. Computational Mechanics Publications, Springer: Southampton, Berlin, 1987.
16. DeFigueredo TGB, Brebbia CA. A new hybrid displacement variational formulation of BEM for elastostatics. In Advances in Boundary Elements, Brebbia CA, Conner JJ (eds). Computational Mechanics Publications: Southampton, vol. 1, 1989; 47-57.
17. Zhu T. A new meshless regular local boundary integral equation (MRLBIE) approach. International Journal for Numerical Methods in Engineering 1999; 46:1237-1252.
18. Atluri SN, Kim HG, Cho JY. A critical assessment of the truly Meshless Local Petrov-Galerkin (MLPG), and Local Boundary Integral Equation (LBIE) methods. Computational Mechanics 1999; 24:348-372.
19. Nishida T, Hayami K. Application of the fast multipole method to the 3D BEM analysis of electron guns. In Boundary Elements, vol. XIX, Marchettia M, Brebbia CA, Aliabadi MH (eds). Computational Mechanics Publications: Southampton, U.K., 1997; 613-622.
20. Chati MK, Mukherjee S. The boundary node method for three-dimensional problems in potential theory. International Journal for Numerical Methods in Engineering 2000; 47:1523-1547.