Some decomposition methods in the analysis of repetitive structures

Computers and Structures

Volumn 58, Issue 5, 1996, Pages 973-980

  El Hami, A ^a   Radi, B ^b  

^a UNIVERSITÉ DE TECHNOLOGIE DE BELFORT MONTBÉLIARD   (France)

^b UNIVERSITÉ DE BORDEAUX   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; COMPUTER SOFTWARE; FINITE ELEMENT METHOD; INTERFACES (MATERIALS); MATRIX ALGEBRA; NUMERICAL METHODS; VECTORS;

DECOMPOSITION METHOD; DIRECT SUBSTRUCTURES METHOD; ITERATIVE SUBSTRUCTURE METHOD; METHOD BASED ON THE SYMMETRY GROUPS; REPETITIVE STRUCTURES;

STRUCTURES (BUILT OBJECTS);

EID: 0030567165     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7949(95)00206-V     Document Type: Article

References (13)

1. Int. Symp. on Domain Decomposition Methods for Partial Differential Equations. SIAM.
2. B. Radi, J. C. Gelin and A. Perriot, Solution of the contact problem between two deformable solids using decomposition methods. Comput. Meth. appl. Mech. Engng (in press).
3. B. Radi, J. C. Gelin and A. Perriot, Subdomain methods in structural mechanics. Int. J. numer. Meth. Engng (in press).
4. A. Ecer and J. T. Spyropoulos, Block structural solution schema for analysing three dimensional transonic potential flows. In: Proc AIAA 224th Aerospace Sciences Meeting (1986).
5. A. El Hami, G. Lallement, P. Minotti, S. Cogan, Methods that combine finite group theory with component mode synthesis in the analysis of repetitive structures. Comput. Struct. 48, 975-982 (1993).
6. A. Bossavit, Symmetry groups and the boundary value problems. Comput. Meth. mech. Engng 56, 167-215 (1986).
7. Y.H. De Roeck, Résolution sur ordinateurs multiprocesseurs de problèmes d'élasticité par décomposition de domaines. Thèse université de Paris IX Dauphine (1991).
8. C. Farhat and F. X. Roux, An unconventional domain decomposition method for an efficient parallel solution of large-scale finite element systems. SIAM. J. Sci. Stat. Comput. 13, 379-396 (1992).
9. J. S. Przemieniecki, Matrix Structural analysis of Substructures. AIAA J. 1, 138-147 (1963).
10. P. E. Bjorstad and O. B. Widlund, Iteratives methods for the solution of elliptic problems on regions partitioned into substructures. SIAM J. numer. Anal. 23, 1097-1120 (1986).
11. M. Hetenes and E. Stiefel, Methods of conjugate gradient for solving linear systems. J. Res. Nat. Bur. Stand. B 49, 406-436 (1952).
12. A. El Hami, Utilisation de la théorie des groupes finis et la sous-structuration en mécanique des structures repetitive. Ph.D. thesis. Universite de Franche-Comté (1992).
13. B. Radi, Méthodes de calcul par sous-domaine. Application au problème de contact entre deux solides. Ph.D. thesis, Université de Franche-Comté (1992).