Multidisciplinary topology optimization solved as a Nash game

International Journal for Numerical Methods in Engineering

Volumn 61, Issue 7, 2004, Pages 949-963

  Habbal, Abderrahmane ^a   Petersson, Joakim ^b   Thellner, Mikael ^b  

^a UNIVERSITÉ DE NICE SOPHIA ANTIPOLIS   (France)

^b LINKÖPING UNIVERSITY   (Sweden)

Author keywords

Game theory; Heat transfer; Multidisciplinary optimization; Nash equilibrium; Thermoelasticity; Topology optimization

Indexed keywords

HEAT TRANSFER; MATHEMATICAL MODELS; OPTIMIZATION; PARAMETER ESTIMATION; PHASE EQUILIBRIA; PROBLEM SOLVING; TEMPERATURE DISTRIBUTION; TOPOLOGY;

FRAMEWORK; THERMOELASTIC SYSTEM;

GAME THEORY;

CONVECTION; HEAT TRANSFER; MATHEMATICAL METHOD; OPTIMIZATION; THERMOELASTICITY;

EID: 6344294838     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1093     Document Type: Article

References (14)

1. Bendsøe MP, Sigmund O. Topology Optimization: Theory, Methods and Applications. Springer: Berlin, 2003.
2. Soto CA. Applications of structural topology optimization in the automobile industry: past, present, future. In Proceedings of the Fifth World Congress on Computational Mechanics (WCCM V), July 7-12, 2002, Vienna, Austria, Mang HA, Rammerstorfer FG, Eberhardsteiner J (eds), Vienna University of Technology: Austria, 2002.
3. Osyczka A. Multicriterion Optimization in Engineering with FORTRAN Programs. Ellis Horwood Limited: Chichester, 1984.
4. Periaux J, Chen HQ, Mantel B, Sefrioui M, Sui HT. Combining game theory and genetic algorithms with application to DDM-nozzle optimization problems. Finite Elements in Analysis and Design 2001; 37 5):417-429.
5. Ramos AM, Glowinski R, Periaux J. Nash equilibria for the multiobjective control of linear partial differential equations. Journal of Optimization Theory and Applications 2002; 112(3):457-498.
6. Lievre H, Desideri J-A, Habbal A. Optimisation numerique de profils d'aile par algorithmes genetiques et jeux de Nash. Reserach report number 4275, INRIA, September 2001.
7. Zhi LT, Désidéri J-A, Périaux J. Distributed Optimization using Virtual and Real Game Strategies for Aerodynamic Multi-Objective Design. Zeitoun DE et al. (eds), West East High Speed Flow Fields 2002, Marseille, France. CIMNE, Barcelona, Spain.
8. Rodrigues H, Fernandes P. A material based model for topology optimization of thermoelastic structures. International Journal for Numerical Methods in Engineering 1995; 38(12):1951-1965.
9. Aubin JP. Mathematical Methods of Game and Economic Theory. North-Holland Publishing Co.: Amsterdam, New York, 1979.
10. Bendsøe MP, Sigmund O. Material interpolation schemes in topology optimization. Archives of Mechanics 1999; 69:635-654.
11. Sigmund O, Petersson J. Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima. Structural Optimization 1998; 16:68-75.
12. Borrvall T. Topology optimization of elastic continua using restriction. Archives of Computational Methods in Engineering 2001; 8 4):34.
13. Bourdin B. Filters in topology optimization. International Journal for Numerical Methods in Engineering 2001; 50(9):2143-2158.
14. Svanberg K. The method of moving asymptotes-a new method for structural optimization. International Journal for Numerical Methods in Engineering 1987; 24:359-373.