Some aspects of the optimal shape design problems

JVC/Journal of Vibration and Control

Volumn 5, Issue 3, 1999, Pages 401-419

  Butt, Rizwan ^a  

^a KING SAUD UNIVERSITY   (Saudi Arabia)

Author keywords

Approximation; Convexity; Finite element method; Optimal shape design; Optimization techniques; Sobolev space; Variational inequalities

Indexed keywords

EID: 4043117888     PISSN: 10775463     EISSN: None     Source Type: Journal    
DOI: 10.1177/107754639900500304     Document Type: Article

References (10)

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3. Butt, R., 1996, "Shape problems and differential inequalities," J. Franklin Institute 333(B)(2), 257-281.
4. Butt, R., 1997a, "Optimal shape design of systems governed by variational inequalities," Int. J. Math. Comput. Modell. 25(10), 47-55.
5. Butt, R., 1997b, "Design problem solved by optimal control theory," Korean J. Comp. Appl. Math. 4(1), 167-178.
6. Chesnay, D., 1975, "On the existence of a solution in a domain identification problem," J. Math. Anal, and Appl. 52, 189-289.
7. Glowinski, R., Lions, J. L., and Trémolières, R., 1981, Numerical Analysis of Variational Inequalities, North Holland, Amsterdam.
8. Lions, J. L., 1970, Optimal Control of Systems Governed by Partial Differential Equations, North Holland, Amsterdam.
9. Noor, M. A., Noor, K. I., and Rassias, T. M., 1993, "Some aspects of variational inequalities," J Comput. App. Math. 47, 285-312.
10. Pironneau, O., 1984, Optimal Shape Design for Elliptic System, Springer-Verlag, New York.