Relaxation of an optimal design problem with an integral-type constraint

@article{Aranda2005RelaxationOA,
  title={Relaxation of an optimal design problem with an integral-type constraint},
  author={Ernesto Aranda and Jos{\'e} Carlos Bellido},
  journal={Proceedings of the 44th IEEE Conference on Decision and Control},
  year={2005},
  pages={702-707}
}
We study a new relaxation for a two-dimensional optimal design problem in conductivity consisting of determining how to mix two given conducting materials in order to minimize the amount of one of them, subject to a constraint on the efficiency of the conducting properties of the mixture. Our approach here is different from that obtained in [10], and based on a local reformulation of the optimal design problem by means of the introduction of new potentials. The concept of constrained… CONTINUE READING

From This Paper

Figures, tables, results, connections, and topics extracted from this paper.
0 Extracted Citations
15 Extracted References
Similar Papers

Referenced Papers

Publications referenced by this paper.
Showing 1-10 of 15 references

Parametrized Measures and Variational Principles, ser

  • P. Pedregal
  • Progress in Nonlinear Partial Differential…
  • 1997
Highly Influential
3 Excerpts

Relaxation of an optimal design problem with an integral-type constraint

  • E. Aranda, J. Bellido
  • SIAM J. Control Optim., 2005, en prensa.
  • 2005

Constrained quasiconvexification of the square of the gradient of the state in optimal design

  • ——
  • Quart. Appl. Math., vol. 62, no. 3, pp. 459–470…
  • 2004
2 Excerpts

Optimal design via variational principles: the three dimensional case

  • ——
  • J. Math. Anal. Appl., vol. 287, pp. 157–176, 2003…
  • 2003
1 Excerpt

Explicit computation of the relaxed density coming from a three-dimensional optimal design problem

  • J. Bellido
  • 2002, to appear in Nonlinear Analysis: TMA.
  • 2002
1 Excerpt

Explicit quasiconvexification for some cost functionals depending on the derivatives of the state in optimal design

  • J. Bellido, P. Pedregal
  • Discrete Contin. Dyn. Syst., vol. 8, no. 4, pp…
  • 2002
2 Excerpts

Theory of Composites

  • G. Milton
  • 2002
1 Excerpt

Quasiregular mappings and young measures

  • K. Astala, D. Faraco
  • 2001, preprint.
  • 2001

Constrained quasiconvexity and structural optimization

  • ——
  • Arch. Rational Mech. Anal., vol. 154, pp. 325–342…
  • 2000
1 Excerpt

Similar Papers

Loading similar papers…