Symmetry and sufficient condition of optimality in a domain optimization problem

Control and Cybernetics

Volumn 26, Issue 1, 1997, Pages 44-56

  Belov, Sergei ^a   Fujii, Nobuo ^b  

^a LOBACHEVSKY STATE UNIVERSITY OF NIZHNY NOVGOROD   (Russian Federation)

^b OSAKA SANGYO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3142596236     PISSN: 03248569     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. BANICHUK, N.V. (1976) Optimization of elastic bars in torsion. International Journal of Solids and Structures, 12, 275-286.
2. CEA, J. (1981) Problems of shape optimal design. Optimization of Distributed Parameter Structures, E.G. Haug and J. Cea, eds. Alphen aan den Rijn, Holland, Sijthoff and Noordhoff.
3. FUJII, N. (1994) Sufficient conditions for optimality in shape optimization. Control and Cybernetics, 23, 393-406.
4. FUJII, N. (1990) Second order necessary conditions in a domain optimization problem. Journal of Optimization Theory and Applications, 65, 2, 223-244.
5. GILBARG, G. and TRUDINGER, N.S. (1983) Elliptic Partial Differential Equations of Second Order. Springer-Verlag, Berlin Heidelberg, New York, Tokyo.
6. POLYA, G. (1948) Torsional rigidity, principal frequency, electrostatic capacity and symmetrization. Quarterly of Applied Mathematics, 6, 6, 267-277.
7. SOKOŁOWSKI, J., ZOLESIO, J.P. (1992) Introduction to Shape Optimization: Shape Sensitivity Analysis. Springer-Verlag Berlin Heidelberg.