Free Access
Volume 14, Number 4, October-December 2008
Page(s) 780 - 794
Published online 07 February 2008
  1. E. Acerbi, I. Fonseca and G. Mingione, Existence and regularity for mixtures of micromagnetic materials. Proc. Royal Soc. London Sect. A 462 (2006) 2225–2244. [CrossRef] [Google Scholar]
  2. N. Aguilera, H.W. Alt and L.A. Caffarelli, An optimization problem with volume constraint. SIAM J. Control Optim. 24 (1986) 191–198. [CrossRef] [MathSciNet] [Google Scholar]
  3. G. Allaire, F. Jouve and A.M. Toader, A level-set method for shape optimization. C. R. Acad. Sci. Paris 334 (2002) 1125–1130. [Google Scholar]
  4. L. Ambrosio, I. Fonseca, P. Marcellini and L. Tartar, On a volume-constrained variational problem. Arch. Ration. Mech. Anal. 149 (1999) 23–47. [Google Scholar]
  5. A. Braides, Γ-convergence for beginners, Oxford Lecture Series in Mathematics and its Applications 22. Oxford University Press, Oxford (2002). [Google Scholar]
  6. D. Bucur and G. Buttazzo, Variational Methods in Shape Optimization Problems 65. Birkhäuser Boston (2005). [Google Scholar]
  7. G. Dal Maso, An Introduction to Γ-Convergence. Birkhäuser Boston Inc., Boston, MA (1993). [Google Scholar]
  8. M.E. Gurtin, D. Polignone and J. Vinals, Two-phase binary fluids and immissible fluids described by an order parameter. Math. Models Methods Appl. Sci. 6 (1996) 815–831. [CrossRef] [MathSciNet] [Google Scholar]
  9. A. Henrot and M. Pierre, Variation et optimisation de formes, une analyse géométrique 48. Springer-Verlag, Paris (2005). [Google Scholar]
  10. M. Morini and M.O. Rieger, On a volume constrained variational problem with lower order terms. Appl. Math. Optim. 48 (2003) 21–38. [CrossRef] [MathSciNet] [Google Scholar]
  11. S. Mosconi and P. Tilli, Variational problems with several volume constraints on the level sets. Calc. Var. Part. Diff. Equ. 14 (2002) 233–247. [Google Scholar]
  12. S. Osher and F. Santosa, Level set methods for optimization problems involving geometry and constraints: frequencies of a two-density inhomogeneous drum. J. Comput. Phys 171 (2001) 272–288. [CrossRef] [MathSciNet] [Google Scholar]
  13. S. Osher and J.A. Sethian, Front propagation with curvature-dependant speed: Algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79 (1988) 12–49. [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
  14. E. Oudet, Numerical minimization of eigenmodes of a membrane with respect to the domain. ESAIM: COCV 10 (2004) 315–335. [CrossRef] [EDP Sciences] [Google Scholar]
  15. M.O. Rieger, Abstract variational problems with volume constraints. ESAIM: COCV 10 (2004) 84–98. [CrossRef] [EDP Sciences] [Google Scholar]
  16. M.O. Rieger, Higher dimensional variational problems with volume constraints – existence results and Γ-convergence. Interfaces and Free Boundaries (to appear). [Google Scholar]
  17. J. Sokolowski and J.P. Zolesio, Introduction to Shape Optimization: Shape Sensitivity Analysis, Springer Series in Computational Mathematics 10. Springer (1992). [Google Scholar]
  18. P. Vergilius Maro, Aeneidum I. (29–19 BC). [Google Scholar]

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