G. Allaire, C. Dapogny, G. Delgado, and G. Michailidis, Multi-phase structural optimization via a level set method. ESAIM -Control Optimisation and Calculus of Variations, pp.576-611, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00839464

G. Allaire, Shape optimization by the homogenization method, 2001.
DOI : 10.1007/978-1-4684-9286-6

L. Blank, M. Butz, H. Garcke, L. Sarbu, and V. Styles, Allen-Cahn and Cahn- Hiliard variational inequalities solved with optimization techniques, Constrained Optimization and Optimal Control for Partial Differential Equations, International Series of Numerical Mathematics, pp.21-35, 2012.
DOI : 10.1007/978-3-0348-0133-1_2

L. Blank, M. H. Farshbaf-shaker, M. Garcke, H. Rupprecht, C. Styles et al., Multi-material Phase Field Approach to Structural Topology Optimization, Trends in PDE Constrained Optimization. International Series of Numerical Mathematics 165, pp.231-246, 2014.
DOI : 10.1007/978-3-319-05083-6_15

M. Burger and R. Stainko, Phase???Field Relaxation of Topology Optimization with Local Stress Constraints, SIAM Journal on Control and Optimization, vol.45, issue.4, pp.1447-1466, 2006.
DOI : 10.1137/05062723X

L. Dede, M. J. Boroden, and T. J. Hughes, Isogeometric Analysis for Topology Optimization with a Phase Field Model, Archives of Computational Methods in Engineering, vol.33, issue.14, pp.427-465, 2012.
DOI : 10.1007/s00158-006-0035-9

N. P. Van-dijk, K. Maute, M. Langlaar, and F. Van-keulen, Level-set methods for structural topology optimization: a review Structural and Multidisciplinary Optimization 48, pp.437-472, 2013.

J. Haslinger and R. Mäkinen, Introduction to Shape Optimization. Theory, Approximation , and Computation, 2003.

G. Karali and T. Ricciardi, On the convergence of a fourth order evolution equation to the Allen???Cahn equation, Nonlinear Analysis: Theory, Methods & Applications, vol.72, issue.11, pp.4271-4281, 2010.
DOI : 10.1016/j.na.2010.02.003

A. My´sli´nskimy´sli´my´sli´nski, Piecewise constant level set method for topology optimization of unilateral contact problems, Advances in Engineering Software, vol.80, pp.25-32, 2015.
DOI : 10.1016/j.advengsoft.2014.09.020

A. My´sli´nskimy´sli´my´sli´nski, Level set method for optimization of contact problems, Engineering Analysis with Boundary Elements, vol.32, issue.11, pp.986-994, 2008.
DOI : 10.1016/j.enganabound.2007.12.008

F. Tröltzsch, Optimal control of partial differential equations: Theory, methods and applications, Graduate Studies in Mathematics, vol.112, 2010.
DOI : 10.1090/gsm/112

J. Sokoo-lowski and J. P. Zolesio, Introduction to Shape Optimization. Shape Sensitivity Analysis, 1992.

R. Tavakoli, Multimaterial topology optimization by volume constrained Allen???Cahn system and regularized projected steepest descent method, Computer Methods in Applied Mechanics and Engineering, vol.276, pp.534-565, 2014.
DOI : 10.1016/j.cma.2014.04.005