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Optimal design and hyperbolic problems
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APA 6th Edition
Antonić, N. i Vrdoljak, M. (1999). Optimal design and hyperbolic problems. Mathematical Communications, 4 (1), 121-129. Preuzeto s https://hrcak.srce.hr/1750
MLA 8th Edition
Antonić, N. i M. Vrdoljak. "Optimal design and hyperbolic problems." Mathematical Communications, vol. 4, br. 1, 1999, str. 121-129. https://hrcak.srce.hr/1750. Citirano 31.03.2023.
Chicago 17th Edition
Antonić, N. i M. Vrdoljak. "Optimal design and hyperbolic problems." Mathematical Communications 4, br. 1 (1999): 121-129. https://hrcak.srce.hr/1750
Antonić, N., i Vrdoljak, M. (1999). 'Optimal design and hyperbolic problems', Mathematical Communications, 4(1), str. 121-129. Preuzeto s: https://hrcak.srce.hr/1750 (Datum pristupa: 31.03.2023.)
Antonić N, Vrdoljak M. Optimal design and hyperbolic problems. Mathematical Communications [Internet]. 1999 [pristupljeno 31.03.2023.];4(1):121-129. Dostupno na: https://hrcak.srce.hr/1750
N. Antonić i M. Vrdoljak, "Optimal design and hyperbolic problems", Mathematical Communications, vol.4, br. 1, str. 121-129, 1999. [Online]. Dostupno na: https://hrcak.srce.hr/1750. [Citirano: 31.03.2023.]
Quite often practical problems of optimal design have no solution. This situation can be alleviated by relaxation, where one needs generalised materials which can mathematically be defined by using the theory of homogenisation.
First mathematical results in this direction for general (nonperiodic) materials were obtained by Murat and Tartar.
We present some results in optimal design where the equation of state is hyperbolic. The control function is related to the response of vibrating material under the given external force.
As the problem under consideration has no solution, we consider its relaxation to H-closure of the original set of controls.
optimal design, homogenisation, relaxation, H-convergence, stratified materials
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