An integrated geometric-algebraic method for solving semi-definite problems in structural mechanics

Computer Methods in Applied Mechanics and Engineering

Volumn 190, Issue 49-50, 2001, Pages 6513-6532

  Papadrakakis, M ^a   Fragakis, Y ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Domain decomposition; Rigid body modes; Semi definite problems; Structural analysis; Zero energy modes

Indexed keywords

ALGEBRA; COST EFFECTIVENESS; GEOMETRY; ROBUSTNESS (CONTROL SYSTEMS); STATISTICAL MECHANICS;

ZERO ENERGY MODES;

ATMOSPHERIC STRUCTURE;

STRUCTURAL ANALYSIS;

EID: 0035850695     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(01)00234-1     Document Type: Article

References (20)

1. A method of finite element and interconnecting and its parallel solution algorithm
2. A scalable Lagrange multiplier based domain decomposition method for implicit time-dependent problems
3. Parallel solution techniques in computational structural mechanics
4. Domain decomposition methods for parallel solution of shape sensitivity analysis problems
5. Approximate Dirichlet preconditioners for the FETI method
6. Dual Schur complement method for semi-definite problems
7. The second generation FETI methods and their application to the parallel solution of large-scale linear and geometrically non-linear structural analysis problems
8. Balancing domain decomposition
9. A direct flexibility method
10. The construction of free-free flexibility matrices as generalized stiffness inverses
11. Algebraic multigrid based on smoothed aggregation for second and fourth order problems
12. Eigenvalue analysis by matrix iteration in the presence of kinematical modes
13. On the general solution by a direct method of a large-scale singular system of equations: Application to the analysis of floating structures
14. Postbuckling performance of the TRIC natural mode triangular shell element for isotropic and laminated composite shells