Recent developments of free mesh method

International Journal for Numerical Methods in Engineering

Volumn 47, Issue 8, 2000, Pages 1419-1443

  Yagawa, Genki ^a   Furukawa, Tomonari ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

Free mesh method; Meshless method; Parallel computation; Seamless method

Indexed keywords

BOUNDARY CONDITIONS; PARALLEL ALGORITHMS; PARALLEL PROCESSING SYSTEMS; PROBLEM SOLVING;

FREE MESH METHOD; MESHLESS METHOD; SEAMLESS METHOD;

FINITE ELEMENT METHOD;

EID: 0033901288     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(20000320)47:8<1419::AID-NME837>3.0.CO;2-E     Document Type: Article

References (21)

1. Lucy LB. A numerical approach to the testing of the fission hypothesis. The Astronomical Journal 1977; 82(12):1013.
2. Nayroles B, Touzot G, Villon P. Generating the finite element method: diffuse approximation and diffuse elements. International Journal of Computational Mechanics 1992; 10:307-318.
3. Belytschko T, Lu YY, Gu L. Element-free Galerkin methods. International Journal for Numerical Methods in Engineering 1994; 37:239-256.
4. Liu WK, Jun S, Li S, Adee J, Belytschko T. Reproducing kernel particle methods for structural dynamics. International Journal for Numerical Methods in Engineering 1995; 38:1655-1680.
5. Yagawa G, Yamada T. Free mesh method: a new meshless finite element method. International Journal of Computational Mechanics 1996; 18:383-386.
6. Yagawa G, Yamada T, Furukawa T. Parallel computing with free mesh method: a kind of meshless finite element method. Proceedings of IUTAM Symposium on Discretization Methods in Structural Mechanics II, Vienna, 1997; 10-17.
7. Watanabe O, Segawa F. Application of free mesh method to elasto-plastic large deformation problem. Transactions of Japan Society for Mechanical Engineers A 1999, in press.
8. Yagawa G, Furukawa T, Wu CC, Yamada T. Patch elements for a meshless method. In Advances in Computational Engineering Science, Atluri SN, Yagawa G (eds). Tech Science Press: Atlanta, 1997; 900-905.
9. Yagawa G, Yamada T. Parallel computing with free mesh method. Transactions of the 14th International Conference on Structural Mechanics in Reactor Technology (SMiRT 14), vol. 1, No. B04/1. 1997; 101-112.
10. Yagawa G, Shirazaki M. Parallel computing for incompressible flow using a node-based method. International Journal of Computational Mechanics 1998, in press.
11. Shirazaki M, Yagawa G. Large-scale parallel flow analysis based on free mesh method. International Journal of Computational Methods in Applied Mechanics and Engineering 1998, in press.
12. Yagawa G, Yamada T. Meshless method on massively parallel processors with application to fracture mechanics. In Engineering Materials, vols. 145-149. Trans Tech Publications: Atlanta, 1998; 201-210.
13. Furukawa T, Yang C, Yagawa G, Wu CC. Quadrilateral approaches for accurate free mesh method. International Journal for Numerical Methods in Engineering 1999, in press.
14. Aykanat C, Ozguner F, Scott DS. Vectorization and parallelization of the conjugate gradient algorithm on hypercube-connected vector processors. Microprocessing and Microprogramming 1990; 29:67-82.
15. Furukawa T, Yang C, Yagawa G, Wu CC. A memoryless free mesh method with quadrilateral elements. Proceedings of the 75th JSME Spring Annual Meeting (I), Tokyo, 1998; 177-178.
16. Ghia U, Ghia KN, Shin CT. High-resolutions for incompressible flow using the Navier-Stokes equations and a multigrid method. Journal of Computational Physics 1982; 48:387-411.
17. Peirce D, Shih CF, Needleman A. A tangent modulus method for rate dependent solids. Computers and Structures 1984; 18(5):875-887.
18. Kaku T, Watanabe O. Study on the precision of finite element solution in elasto-plastic large deformation. Transactions of Japan Society for Mechanical Engineers A 1994; 60(574):1408-1415.
19. Yagawa G, Hosokawa T. Application of the free mesh method with delaunay tessellation in a 3-dimensional problem. Transactions of Japan Society for Mechanical Engineers A 1997; 64(614):2251-2256.
20. Wu CC, Cheung YK. On optimization approaches of hybrid stress elements. Finite Elements in Analysis and Design 1995; 21:111-128.
21. Yang C, Furukawa T, Yagawa G, Wu CC. Incompatible element for free mesh method. Proceedings of the 76th JSME Fall Annual Meeting (I), Sendai, 1998; 129-130.