Enforcement of essential boundary conditions in meshless approximations using finite elements

Computer Methods in Applied Mechanics and Engineering

Volumn 131, Issue 1-2, 1996, Pages 133-145

  Krongauz, Y ^a   Belytschko, T ^a  

^a NORTHWESTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; FUNCTIONS; LEAST SQUARES APPROXIMATIONS; NUMERICAL METHODS; POLYNOMIALS;

GALERKIN METHOD; MESHLESS APPROXIMATIONS; SHAPE FUNCTIONS;

BOUNDARY CONDITIONS;

EID: 0030120864     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7825(95)00954-X     Document Type: Article

References (14)

1. T. Belytschko, Y.Y. Lu and L. Gu, Element-free Galerkin methods, Int. J. Numer. Methods Engrg. 37 (1994) 229-256.
2. T. Belytschko, H.S. Chang and Y.Y. Lu, A variationally couple finite element boundary element method, Comput. Struct. 33.1 (1989) 17-20.
3. R.H. Gallagher, Finite Element Anslysis: Fundamentals (Prentice Hall, Englewood Cliffs, NJ, 1974).
4. R.A. Gingold and J.J. Monaghan, Smoothed particle hydrodynamics: Theory and application to non-spherical stars, Mon. Not. Roy. Astron. Soc. 181 (1977) 375-389.
5. P. Lancaster and K. Salkauskas, Surfaces generated by moving least-squares methods, Math. Comput. 37 (1981) 141-158.
6. W.K. Liu, S. Jun, S. Li, J. Adee and T. Belytschko, Reproducing kernel particle methods for structural dynamics, Int. J. Numer. Methods Engrg. 38 (1995) 1665-1680.
7. T. Liszka, An interpolation method for an irregular set of nodes, Int. J. Numer. Methods Engrg. 20 (1984) 1599-1612.
8. T. Liszka and J. Orkisz, The finite difference method for arbitrary irregular meshes-a variational approach to applied mechanics problems, GAMNI, Paris (1980) 227-235.
9. Y.Y. Lu, T. Belytschko and L. Gu, A new implementation of the element free Galerkin method, Comput. Methods Appl. Mech. Engrg. 113 (1994) 397-414.
10. B. Nayroles, G. Touzot and P. Villon, Generalizing the finite element method: Diffuse approximation and diffuse elements, Comput. Mech. 10 (1992) 307-318.
11. W.G. Strang and G.J. Fix, An Analysis of Finite Element Method (Prentice Hall, Englewood Cliffs, NJ, 1973).
12. T.G. Terry, Fatigue crack propagation modeling using element free Galerkin method, M.S. Thesis, Northwestern Univeristy, 1994.
13. S.P. Timoshenko and J.N. Goodier, Theory of Elasticity, 3rd edition (McGraw-Hill, New York, 1987).
14. J.R. Williams and K. Amaratunga, Introduction of wavelets in engineering, Int. J. Numer. Methods Engrg. 37 (1994) 2365-2388.