On an optimal shape design problem to control a thermoelastic deformation under a prescribed thermal treatment

Applied Mathematical Modelling

Volumn 31, Issue 4, 2007, Pages 663-675

  Mehne, H H ^a   Farahi, M H ^b   Esfahani, J A ^b  

^a AEROSPACE RESEARCH INSTITUTE   (Iran)

^b FERDOWSI UNIVERSITY OF MASHHAD   (Iran)

Author keywords

Linear programming; Measure theory; Optimal shape design; Thermoelasticity

Indexed keywords

ALGORITHMS; DEFORMATION; HEAT TREATMENT; LINEAR PROGRAMMING; OPTIMIZATION;

MEASURE THEORY; OPTIMAL SHAPE DESIGN; THERMOELASTIC DEFORMATION;

THERMOELASTICITY;

ALGORITHMS; DEFORMATION; HEAT TREATMENT; LINEAR PROGRAMMING; OPTIMIZATION; THERMOELASTICITY;

EID: 33751193483     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2005.12.001     Document Type: Article

References (17)

1. Sprekels J., and Tröltzsch F. On an optimal shape design problem. In: Bandemer H. (Ed). Modelling Uncertain Data (1993), Akademie-Verlag, Berlin S.22-S.27
2. J. Sprekels, H. Goldberg, F. Tröltzsch, Numerical treatments of a shape optimization problem in thermoelasticity, Preprint-Series DFG-SPP Anwendungsbezogene Optimierung und Steuerung, Report Nr. 520.
3. Eppler K., and Harbrecht H. Numerical solution of the elliptic shape optimization problem using wavelet-based BEM. Optimiz. Methods Software 18 (2003) 105-123
4. Laumen M. Newton's method for a class of optimal shape design problems. SIAM J. Optimiz. 10 (2000) 503-533
5. Manservisi S. An optimal control approach to an inverse nonlinear elastic shell problem applied to car windscreen design. Comput. Methods Appl. Mech. Engrg. 189 (2000) 463-480
6. Farahi M.H., Borzabadi A.H., Mehne H.H., and Kamyad A.V. Measure theoretical approach for optimal shape design of a nozzle. J. Appl. Math. Comput. 17 (2005) 315-328
7. Mehne H.H., Farahi M.H., and Esfahani J.A. Slot nozzle design with specified pressure in a given subregion by embedding method. Appl. Math. Comput. 168 (2005) 1258-1272
8. Farahi M.H., Mehne H.H., and Borzabadi A.H. Wing drag minimization by using measure theory. Optimiz. Methods Software 27 2 (2005) 169-177
9. Cea J. Identification of Domain. Lecture Notes in Computer Sciences vol. 3 (1973)
10. Sokolowski J., and Zolesio J.-P. Introduction to Shape Optimization (1992), Springer, New York
11. Chou P.C., and Pagano N.J. Elasticity: Tensor, Dyadic, and Engineering Approaches (1992), Dover, New York
12. Little R.W., and Soutas-Little R.W. Elasticity (1999), Dover, New York
13. Rudin W. Functional Analysis. second ed. (1991), McGraw-Hill, New York
14. Rubio J.E. Optimization and Nonstandard Analysis (1994), Marcel Dekker Inc.
15. Rubio J.E. Control and Optimization: The Linear Treatment of Non-linear Problems (1986), Manchester University Press, Manchester
16. Burden R.L., and Faires J.D. Numerical Analysis. seventh ed. (2000), Brooks/Cole (ITP)
17. Bazaraa M.S., Jarvis J.J., and Sherali H.D. Linear Programming and Network Flows. third ed. (2005), John Wiley & Sons