Dispersive properties of the natural element method

Computational Mechanics

Volumn 25, Issue 2, 2000, Pages 207-219

  Bueche, D ^b   Sukumar, N ^b   Moran, B ^a  

^a Northwestern University   (United States)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

CANTILEVER BEAMS; INTEGRATION; INTERPOLATION; LINEAR EQUATIONS; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; VIBRATIONS (MECHANICAL);

LINEAR ELASTODYNAMICS; NATURAL ELEMENT METHOD (NEM); VORONOI TESSELATION;

ELASTICITY;

EID: 0033877907     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050470     Document Type: Article

References (16)

1. Braun J, Sambridge M (1995) A nmerical method for solving partial differential equations on highly irregular evolving grids. Nature 376:655-660
2. Cannmo P, Runesson K, Ristinmaa M (1995) Modelling of plasticity and damage in a polycrystalline microstructure. Int. J. Plasticity 11(8):949-970
3. Cook RD, Malkus DS, Plesha ME (1989) Concepts and Applications of Finite Element Analysis. John Wiley and Sons, Inc., New York
4. Cruz ME, Patera AT (1982) Parallel Monte-Carlo finite-element procedure for the analysis of multicomponent random media. Int. J. Num. Meth. Eng. 18:11-29
5. Farin G (1990) Surfaces over Dirichlet tessellations. Computer Aided Geometric Design 7(1-4):281-292
6. Ghosh S, Mallett RL (1994) Voronoi cell finite elements. Computers and Structures 50(1):33-46
7. Hurty WC, Rubenstein MF (1964) Dynamics of Structures. Englewood Cliffs, New York: Prentice-Hall
8. Irons BM, Treharne C (1971) A bound theorem of eigenvalues and its practical applications. In: Proceedings of the 2nd Conference on Matrix Method in Structural Mechanics, Wright-Patterson AFB, Ohio
9. Isaacson E, Keller HB (1996) Analysis of Numerical Methods. John Wiley and Sons, Inc., New York
10. Mullen R, Belytschko T (1982) Dispersion analysis of finite element semi-discretisation of the two-dimensional wave equations. Int. J. Num. Meth. Eng. 18:11-29
11. Sibson R (1980) A vector identity for the Dirichlet tesselation. Mathematical Proceedings of the Cambridge Philosophical Society 87:151-155
12. Sukumar N (1998) The Natural Element Method in Solid Mechanics. Ph.D. thesis, Theoretical and Applied Mechanics, Northwestern University, Evanston, IL, USA
13. 1 natural neighbor interpolant for partial differential equations. Numerical Methods for Partial Differential Equations 15(4):417-447
14. Sukumar N, Moran B, Belytschko T (1998) The natural element method in solid mechanics. Int. J. Num. Meth. Eng. 43(5):839-887
15. Voth TE, Christon MA (1998) Results of Von Neumann analyses for reproducing kernel semi-discretizations. In: Fourth Congress on Computational Mechanics, Buenos Aires, Argentina
16. Watson DF (1992) Contouring: A Guide to the Analysis and Display of Spatial Data Oxford: Pergamon Press