Relaxation through homogenization for optimal design problems with gradient constraints
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Publication:700759
DOI10.1023/A:1015408020092zbMath1005.49005OpenAlexW1512543386MaRDI QIDQ700759
Publication date: 8 October 2002
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1015408020092
optimal controlhomogenizationrelaxation\(G\)-convergenceoptimal designelliptic equationgradient constraints
Optimization of other properties in solid mechanics (74P10) Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in equilibrium problems of solid mechanics (74Q05) Optimization of shapes other than minimal surfaces (49Q10)
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Cites Work
- An introduction to \(\Gamma\)-convergence
- Constrained quasiconvexity and structural optimization
- Optimal design problems for two-phase conducting composites with weakly discontinuous objective functionals
- On a class of optimum problems in structural design
- On the optimal distribution of the resistivity tensor of the working substance in a magnetohydrodynamic channel
- Fully explicit quasiconvexification of the mean-square deviation of the gradient of the state in optimal design
- Optimal design and relaxation of variational problems, I
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