Optimization of primal and dual network models of distribution

Computer Methods in Applied Mechanics and Engineering

Volumn 188, Issue 1, 2000, Pages 135-144

  Mohr, G A ^a  

^a IASC   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMIZATION;

CONSTRAINT EQUATIONS;

FRACTURE MECHANICS;

EID: 0034229220     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(99)00144-9     Document Type: Article

References (22)

1. T.J.R. Hughes The Finite Element Method: Linear Static and Dynamic Finite Element Analysis 1987 Prentice-Hall Englewood Cliffs, NJ
2. O.C. Zienkiewicz, The Finite Element Method, 3rd ed., McGraw-Hill, London, 1977
3. A. Jennings Matrix Computation for Engineers and Scientists 1977 Wiley Chichester
4. G.A. Mohr, H.R. Milner, A Microcomputer Introduction to the Finite Element Method, Pitman, Melbourne, 1986
5. G.A. Mohr, H.R. Milner, A Microcomputer Introduction to the Finite Element Method, Heinemann, London, 1987
6. J.H. Argyris Three dimensional anisotropic and inhomogeneous media – matrix analysis for small and large displacements Ingenieur Archiv 31 1968 33 55
7. J.H. Argyris P.C. Dunne G.A. Melakannakis E. Schelke A simple triangular facet shell element with applications to linear and non-linear equilibrium and elastic stability problems Comp. Meth. Appl. Mech. Engrg. 10 1977 371 403
8. F.S. Hillier, G.J. Lieberman, Introduction to Operations Research, 3rd ed., Holden-Day, Oakland, CA, 1980
9. F.S. Budnick, R. Mojena, T.E. Vollmann, in: R.D. Irwin, Principles of Operations Research for Management, Homewood, 1977
10. A. Kaufman, R. Faure, Introduction to Operations Research, Mathematics in Science and Engineering, vol. 47, Academic Press, New York, 1968
11. G.A. Mohr Numerical procedures for input–output analysis Appl. Math. Comp. 101 1999 89 98
12. L.R. Klein, P. Pauly, P. Voisin, The world economy – a global model, Perspectives in Computing (2) (1982) 4–17
13. G.A. Mohr, Finite element modelling of distribution problems, Appl. Math. Comp. (to appear)
14. G.A. Mohr Finite elements for Solids Fluids and Optimization 1992 Oxford University Press Oxford
15. J.S. Przemieniecki Theory of Matrix Structural Analysis 1968 McGraw-Hill New York
16. G.A. Mohr D.A. Caffin Penalty factors, Lagrange multipliers and basis transformation in the finite element method CE Trans I.E.Aust. CE 27 1985 174 180
17. G.A. Mohr On two equivalent thin plate finite elements Comm. Numer. Meth. Engrg. 14 1998 271 275
18. G.A. Mohr Finite element optimization of structures I, II Comput. Struc. 53 1994 1217 1224
19. C. Zhao G.P. Steven Y.M. Xie Effect of initial non-design domain on optimal topologies of structures during natural frequency optimization Comput. Struc. 62 1997 119 131
20. G.A. Mohr Optimization of critical path models using finite elements CE Trans I.E.Aust. CE 36 1994 123 126
21. A.G.M. Michell The limits of economy in frame structures Phil. Mag. 8 6 1904 589 597
22. G.A. Mohr, Flow ratio design of primal and dual network models of distribution, Comp. and OR, submitted