Shape problems and differential inequalities

Journal of the Franklin Institute

Volumn 333, Issue 2, 1996, Pages 257-281

  Butt, Rizwan ^a  

^a KING SAUD UNIVERSITY   (Saudi Arabia)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; EQUATIONS OF STATE; GEOMETRY; IDENTIFICATION (CONTROL SYSTEMS); MATHEMATICAL TECHNIQUES; NUMERICAL METHODS; OPTIMAL CONTROL SYSTEMS; VARIATIONAL TECHNIQUES;

COST FUNCTION; DIFFERENTIAL INEQUALITIES; GEOMETRICAL DOMAIN; SHAPE PROBLEMS; VARIATIONAL FORMULATION;

CONTROL SYSTEM ANALYSIS;

EID: 0030100803     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/0016-0032(96)00005-1     Document Type: Article

References (11)

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3. J. Cea, "Numerical methods of shape optimal design. Optimization parameter structures," (edited by E. J. Haug and J. Cea), Sijthoff & Noordhoff, Alphen aan den rihn, Netherlands, pp. 1049-1087, 1980.
4. J. L. Lions, "Some topic on variational inequalities and applications, in New developments in differential equations" (edited by W. Eckaus), North-Holland Publishing Company, 1976.
5. J. P. Zolesio, "The material derivative method for shape optimization. Optimization of distributed parameter structures", Sijthoff and Noordhoff, Alphen aan den rihn, Netherlands, pp. 1089-1151, 1980.
6. R. Butt, "Optimal shape design for differential inequalities", Ph.D. Thesis, Leeds University, England, 1988.
7. R. Butt, "An existence theory for a minimum energy problem", J. Comput. Appl. Math., Vol. 40, pp. 253-257, 1993.
8. R. Butt and J. E. Rubio, "Optimal shape design for a friction-less contact problem J. Comput. Appl. Math., Vol. 40, pp. 1-17, 1992.
9. R. Butt, "Optimal shape design for a nozzle problem", J. Austral. Math. Soc. Ser. B, pp. 1-16, 1993.
10. R. Butt and J. E. Rubio, "Optimal shapes for the control of nonlinear heat conduction", J. Franklin Institute, Vol. 327, No. 1, pp. 151-163, 1990.
11. R Butt, "Optimum shape design", An electrochemical machining problem, J. Comput. Appl. Math., Vol. 47, pp. 1-15, 1993.