On the general solution by a direct method of a large-scale singular system of linear equations: Application to the analysis of floating structures

International Journal for Numerical Methods in Engineering

Volumn 41, Issue 4, 1998, Pages 675-696

  Farhat, Charbel ^a   Géradin, Michel ^b  

^a UCB 450   (United States)

^b UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

Generalized inverse; Zero energy modes

Indexed keywords

ALGORITHMS; COMPUTATIONAL GEOMETRY; COMPUTATIONAL METHODS; INVERSE PROBLEMS; ITERATIVE METHODS; PROBLEM SOLVING; STRUCTURAL ANALYSIS;

HYBRID GEOMETRIC ALGEBRAIC METHOD; LINEAR EQUATIONS; ZERO ENERGY MODES;

MATRIX ALGEBRA;

EID: 0032000723     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19980228)41:4<675::AID-NME305>3.0.CO;2-8     Document Type: Article

References (8)

1. M. Géradin and D. Rixen, Mechanical vibrations, Theory and Application to Structural Dynamics, Wiley, New York, 1994.
2. J. H. Bramble, J. E. Pasciak and A. H. Schatz, "The construction of preconditioners for elliptic problems by substructuring, IV, Math. Comput., 53, 1-24 (1989).
3. J. Mandel, 'Iterative solvers by substructuring for the p-version finite element method', Comput. Meth. Appl. Mech. Engng., 80, 117-128 (1990).
4. J. Mandel, 'Balancing domain decomposition', Commun. Appl. Numer. Meth., 9, 233-241 (1993).
5. P. LeTallec, J. Mandel and M. Vidrascu, 'Balancing domain decomposition for plates', in: D. E. Keyes and J. Xu (eds.), Proc. 7th Int. Conf. on Domain Decomposition, Contemporary Mathematics, 180, 15-524 (1994).
6. A. Shipley, private communication.
7. M. Géradin, 'Eigenvalue analysis by matrix iteration in the presence of kinematical modes', Shock and Vibration Digest, 6, (1974).
8. J. S. Przemieniecki, Theory of Matrix Structural Analysis, McGraw-Hill, New York, 1968.