Cinthia Gomes Lopes, Renatha Batista dos Santos, Antonio André Novotny, Jan Sokołowski, “Asymptotic analysis of variational inequalities with applications to optimum design in elasticity”, ASY, 102, no. 3-4, 2017, 227
Michel C. Delfour, “Topological Derivative of State-Constrained Objective Functions: A Direct Method”, SIAM J. Control Optim., 60, no. 1, 2022, 22
Kevin Sturm, “Topological sensitivities via a Lagrangian approach for semilinear problems”, Nonlinearity, 33, no. 9, 2020, 4310
Samuel Amstutz, “Connections between topological sensitivity analysis and material interpolation schemes in topology optimization”, Struct Multidisc Optim, 43, no. 6, 2011, 755
Antoine Laurain, Katarzyna Szulc, 312, System Modeling and Optimization, 2009, 331
VIRGINIE BONNAILLIE-NOËL, MARC DAMBRINE, SÉBASTIEN TORDEUX, GRÉGORY VIAL, “INTERACTIONS BETWEEN MODERATELY CLOSE INCLUSIONS FOR THE LAPLACE EQUATION”, Math. Models Methods Appl. Sci., 19, no. 10, 2009, 1853
Samuel Amstutz, “Regularized Perimeter for Topology Optimization”, SIAM J. Control Optim., 51, no. 3, 2013, 2176
S. A. Nazarov, “Asymptotic modeling of the problem with contrasting stiffness”, J Math Sci, 167, no. 5, 2010, 692
Phillip Baumann, Idriss Mazari-Fouquer, Kevin Sturm, “The Topological State Derivative: An Optimal Control Perspective on Topology Optimisation”, J Geom Anal, 33, no. 8, 2023, 243
Karsten Eppler, Helmut Harbrecht, Reinhold Schneider, “On Convergence in Elliptic Shape Optimization”, SIAM J. Control Optim., 46, no. 1, 2007, 61