Free Access
Volume 17, Number 3, July-September 2011
Page(s) 705 - 721
Published online 31 March 2010
  1. G. Allaire, F. de Gournay, F. Jouve and A. Toader, Structural optimization using topological and shape sensitivity via a level set method. Control Cybern. 34 (2005) 59–80. [Google Scholar]
  2. S. Amstutz, Sensitivity analysis with respect to a local perturbation of the material property. Asymptotic Anal. 49 (2006) 87–108. [Google Scholar]
  3. S. Amstutz and H. Andrä, A new algorithm for topology optimization using a level-set method. J. Comput. Phys. 216 (2006) 573–588. [CrossRef] [MathSciNet] [Google Scholar]
  4. S. Amstutz, I. Horchani and M. Masmoudi, Crack detection by the topological gradient method. Control Cybern. 34 (2005) 81–101. [Google Scholar]
  5. D. Auroux, M. Masmoudi and L. Belaid, Image restoration and classification by topological asymptotic expansion, in Variational formulations in mechanics: theory and applications, Barcelona, Spain (2007). [Google Scholar]
  6. G.R. Feijóo, A new method in inverse scattering based on the topological derivative. Inv. Prob. 20 (2004) 1819–1840. [CrossRef] [Google Scholar]
  7. S. Garreau, Ph. Guillaume and M. Masmoudi, The topological asymptotic for pde systems: the elasticity case. SIAM J. Control Optim. 39 (2001) 1756–1778. [Google Scholar]
  8. M. Hintermüller and A. Laurain, Electrical impedance tomography: from topology to shape. Control Cybern. 37 (2008) 913–933. [Google Scholar]
  9. M. Hintermüller and A. Laurain, Multiphase image segmentation and modulation recovery based on shape and topological sensitivity. J. Math. Imag. Vis. 35 (2009) 1–22. [Google Scholar]
  10. I. Larrabide, R.A. Feijóo, A.A. Novotny and E. Taroco, Topological derivative: a tool for image processing. Comput. Struct. 86 (2008) 1386–1403. [CrossRef] [Google Scholar]
  11. R.W. Little, Elasticity. Prentice-Hall, New Jersey (1973). [Google Scholar]
  12. S.A. Nazarov and J. Sokołowski, Asymptotic analysis of shape functionals. J. Math. Pures Appl. 82 (2003) 125–196. [MathSciNet] [Google Scholar]
  13. A.A. Novotny, R.A. Feijóo, C. Padra and E. Taroco, Topological derivative for linear elastic plate bending problems. Control Cybern. 34 (2005) 339–361. [Google Scholar]
  14. A.A. Novotny, R.A. Feijóo, E. Taroco and C. Padra, Topological sensitivity analysis for three-dimensional linear elasticity problem. Comput. Methods Appl. Mech. Eng. 196 (2007) 4354–4364. [CrossRef] [Google Scholar]
  15. J. Sokołowski and A. Żochowski, On the topological derivative in shape optimization. SIAM J. Control Optim. 37 (1999) 1251–1272. [CrossRef] [MathSciNet] [Google Scholar]

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