Coupling of the mesh-free finite cloud method with the boundary element method: A collocation approach

Computer Methods in Applied Mechanics and Engineering

Volumn 192, Issue 20-21, 2003, Pages 2355-2375

  Li, Gang ^a   Paulino, Glaucio H ^a   Aluru, N R ^b  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b University of Illinois at Urbana Champaign   (United States)

Author keywords

Boundary element method; Collocation; Coupling techniques; Finite cloud method; Meshless methods

Indexed keywords

BOUNDARY ELEMENT METHOD; LOADS (FORCES); PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; TRACTION (FRICTION);

MESH-BASED METHODS;

COMPUTATIONAL METHODS;

BOUNDARY ELEMENT METHOD;

EID: 0038115628     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(03)00258-5     Document Type: Article

References (33)

1. Belytschko T. Krongauz Y. Organ D. Fleming M. Krysl P. Meshless methods: An overview and recent developments Comput. Methods Appl. Mech. Engrg. 139 1996 3-47
2. Aluru N.R. Li G. Finite cloud method: a true meshless technique based on a fixed reproducing kernel approximation Int. J. Numer. Methods Engrg. 50 2001 2373-2410
3. Belytschko T. Organ D. Krongauz Y. A coupled finite element-element-free Galerkin method Computat. Mech. 17 1995 186-195
4. Krongauz Y. Belytschko T. Enforcement of essential boundary conditions in meshless approximations using finite elements Comput. Methods Appl. Mech. Engrg. 131 1996 133-145
5. Hegen D. Element-free Galerkin methods in combination with finite element approaches Comput. Methods Appl. Mech. Engrg. 135 1995 143-166
6. Huerta A. Fernández-Méndez S. Enrichment and coupling of the finite element and meshless methods Int. J. Numer. Methods Engrg. 48 2000 1615-1636
7. Liu W.K. Uras R.A. Chen Y. Enrichment of the finite element method with the reproducing kernel particle method J. Appl. Mech. - Trans. ASME 64 1997 861-870
8. O.C. Zienkiewicz, D.W. Kelly, P. Bettess, Marriage a la mode - the best of both worlds (finite elements and boundary integrals), in: R. Glowinski, E.Y. Rodin, O.C. Zienkiewicz (Eds.), Energy Methods in Finite Element Analysis, Wiley, London, 1979, pp. 82-107
9. Brebbia C.A. Dominguez J. Boundary Elements An Introductory Course 1989 McGraw-Hill
10. Becker A.A. The Boundary Element Method in Engineering--A Complete Course 1992 McGraw-Hill
11. Banerjee P.K. The Boundary Element Methods in Engineering 1994 McGraw-Hill
12. Li H. Han G. Mang H.A. Torzicky P. A new method for the coupling of finite element and boundary element discretized subdomains of elastic bodies Comput. Methods Appl. Mech. Engrg. 54 1986 161-185
13. Yazdchi M. Khalili N. Valliappan S. Dynamic soil-structure interaction analysis via coupled finite-element-boundary-element method Soil Dyn. Earthquake Engrg. 18 1999 499-517
14. Zeng X. Bielak J. Stable symmetric finite element-boundary integral coupling methods for fluid-structure interface problems Engrg. Anal. Boundary Elem. 15 1995 79-91
15. Oysu C. Fenner R.T. Two-dimensional elastic contact analysis by coupling finite element and boundary element methods J. Strain Anal. Engrg. Des. 33 1998 459-468
16. Song S.P. Li B.Q. Coupled boundary/finite element method for the computation of magnetically and electrostatically levitated droplet shapes Int. J. Numer. Methods Engrg. 44 1999 1055-1077
17. Kuhn M. Steinbach O. Symmetric coupling of finite and boundary elements for exterior magnetic field problems Math. Methods Appl. Sci. 25 2002 357-371
18. Belytschko T. Lu Y.Y. A variational coupled FE-BE method for transient problems Int. J. Numer. Methods Engrg. 37 1994 91- 105
19. Yu G. Mansur W.J. Carrer J.A.M. Lie S.T. A more stable scheme for BEM/FEM coupling applied to two-dimensional elastodynamics Comput. Struct. 79 2001 811-823
20. Pullan A. High-order coupled finite element/boundary element torso model Engrg. Anal. Boundary Elem. 43 1996 292-298
21. Zeng X. Kallivokas L.F. Bielak J. A symmetric variational finite element-boundary integral equation coupling method Comput. Struct. 46 1993 995-1000
22. Holzer S. On the engineering analysis of 2D problems by the symmetric Galerkin boundary element method and coupled BEM/FEM Kane J.H. Maier G. Tosaka N. Atluri S.N. Advances in Boundary Element Techniques 1993 187-208 Springer-Verlag (Chapter 10)
23. Sirtori S. Miccoli S. Korach E. Symmetric coupling of finite elements and boundary elements Kane J.H. Maier G. Tosaka N. Atluri S.N. Advances in Boundary Element Techniques 1993 407- 427 Springer-Verlag (Chapter 20)
24. Carstensen C. Wriggers P. On the symmetric boundary element method and the symmetric coupling of boundary elements and finite elements IMA J. Numer. Anal. 17 1997 201-238
25. Malvern L.E. Introduction to the Mechanics of Continuum Medium 1969 Prentice-Hall Englewood Cliffs, NJ
26. Jin X. Li G. Aluru N.R. On the equivalence between least-squares and kernel approximation in meshless methods CMES: Comput. Modeling Engrg. Sci. 2 2001 447-462
27. Aluru N.R. A point collocation method based on reproducing kernel approximations Int. J. Numer. Methods Engrg. 47 2000 1083-1121
28. Timoshenko S.P. Goodier J.N. Theory of Elasticity 1982 McGraw-Hill
29. Heath M.T. Scientific Computing: An Introductory Survey 1997 McGraw-Hill
30. Gray L.J. Paulino G.H. Symmetric Galerkin boundary integral formulation for interface and multi-zone problems Int. J. Numer. Methods Engrg. 40 1997 3085-3101
31. Paulino G.H. Menezes I.F.M. Cavalcante Neto J.B. Martha L.F. A methodology for adaptive finite element analysis: Towards an integrated computational environment Computat. Mech. 23 1999 361-388
32. Greengard L. Rokhlin V. A fast algorithm for particle simulation J. Computat. Phys. 73 1989 325-348
33. Richardson J.D. Gray L.J. Kaplan T. Napier J.A.L. Regularized spectral multipole BEM for plane elasticity Engrg. Anal. Boundary Elem. 25 2001 295-311