, Conception optimale de structures, Mathématiques & Applications, vol.58, 2006.
A level-set method for shape optimization, C. R. Acad. Sci. Paris, Série I, vol.334, pp.1125-1130, 2002. ,
Structural optimization using shape sensitivity analysis and a level-set method, J. Comput. Phys, vol.194, p.363393, 2004. ,
Structural optimization using topological and shape sensitivity analysis via a levelset method, Control and Cybernetics, vol.34, p.5980, 2005. ,
A framework for the construction of level-set methods for shape optimization and reconstruction, Interfaces and Free Boundaries, vol.5, p.301329, 2003. ,
Computing minimal surfaces via level-set curvature ow, J. Comput. Phys, vol.106, p.7791, 1993. ,
Computation of the signed distance function to a discrete contour on adapted triangulation, 2010. ,
Bubble method for topology and shape optimization of structures, Structural Optimization, vol.8, p.4251, 1994. ,
Mesh Generation : Application to Finite Elements, 2008. ,
The topological asymptotic for PDE systems : the elasticity case, SIAM J. Control. Optim, vol.39, p.17561778, 2001. ,
Velocity extension for the level-set method and multiple eigenvalues in shape optimization, SIAM J. on Control and Optim, vol.45, issue.1, p.343367, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-01880854
Sur le contrôle par un domaine géométrique, Laboratoire d'Analyse Numérique, 1976. ,
Fronts propagating with curvaturedependent speed : Algorithms based on Hamilton-Jacobi formulations, J. Comput. Phys, vol.79, p.1249, 1988. ,
The nite element methods for uids, 1989. ,
Computing Geodesic Paths on Manifolds, Proc. Nat. Acad. Sci, vol.95, p.84318435, 1998. ,
Topological derivatives of shape functionals for elasticity systems, Mech. Structures Mach, vol.29, issue.3, p.349, 2001. ,
Introduction to Shape Optimization : Shape Sensitivity Analysis, Springer Ser. Comput. Math, vol.10, 1992. ,
Semi-Lagrangian Methods for Level Set Equations, J. Comput. Phys, vol.151, p.498533, 1999. ,
A level set method for structural topology optimization, Comput. Methods Appl. Mech. Engrg, vol.192, p.246, 2003. ,