Topological optimization and inverse problems

• Autorzy: Jackowska-Strumillo, L. , Sokolowski, J. , Żochowski, A.
• Konferencja: Optimal design of materials and structures OPTY-2001 (August 27-29, 2001 ; Poznań ; Polska)
• Języki publikacji: EN

Abstrakty

EN

The topological derivative of an arbitrary shape functional is introduced in [1] for 2D elasticity. The optimality conditions for general shape optimization problems are established in [2] using the shape variations including boundary and topology variations. The topology variations result in the presence of topological derivatives in the necessary conditions for optimality. In the present paper we derive the necessary optimality conditions for a class of shape optimization problems. The topological variations of shape functionals are used for the numerical solution of inverse problems. The numerical method uses neural networks. The results of computations confirm the convergence of the method.

Słowa kluczowe

PL

zagadnienie odwrotne; optymalizacja; sieć neuronowa

EN

inverse problems; neural network

• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2003
• Tom: Vol. 10, No. 2
• Strony: 163-176
• Opis fizyczny: Bibliogr. 30 poz., rys., wykr.

Twórcy

autor

Jackowska-Strumillo, L.

• Technical University of Łódź, Computer Engineering Department, Łódż, Poland

autor

Sokolowski, J.

• Universite Henri Poincare, Institut Elie Cartan, Laboratoire de Mathematiques, Nancy, France

autor

Żochowski, A.

• Polish Academy of Sciences, Systems Research Institute [Polska Akademia Nauk, Instytut Badań Systemowych], Warszawa, Poland

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