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Antonio André Novotny, Jan Sokołowski, Antoni Żochowski, “Topological Derivatives of Shape Functionals. Part I: Theory in Singularly Perturbed Geometrical Domains”, J Optim Theory Appl, 180, № 2, 2019, 341
Antonio Andre Novotny, Jan Sokolowski, Antoni Zochowski, 2010 15th International Conference on Methods and Models in Automation and Robotics, 2010, 102
Dariusz Bojczuk, Zenon Mróz, “Topological sensitivity derivative with respect to area, shape and orientation of an elliptic hole in a plate”, Struct Multidisc Optim, 45, № 2, 2012, 153
A. Nowakowski, “Shape optimization of control problems described by elliptic equations”, Nonlinear Analysis: Theory, Methods & Applications, 63, № 5-7, 2005, e1063
Alfredo Canelas, Antonio A. Novotny, Jean R. Roche, “Topology design of inductors in electromagnetic casting using level-sets and second order topological derivatives”, Struct Multidisc Optim, 50, № 6, 2014, 1151
Massimo Lanza de Cristoforis, aolo Musolino, “A quasi-linear heat transmission problem in a periodic two-phase dilute composite. A functional analytic approach”, CPAA, 13, № 6, 2014, 2509
A. A. Novotny, V. Sales, “Energy change to insertion of inclusions associated with a diffusive/convective steady‐state heat conduction problem”, Math Methods in App Sciences, 39, № 5, 2016, 1233
Victor A. Kovtunenko, Karl Kunisch, “High Precision Identification of an Object: Optimality-Conditions-Based Concept of Imaging”, SIAM J. Control Optim., 52, № 1, 2014, 773
Sebastián M. Giusti, Antonio A. Novotny, Eduardo A. de Souza Neto, “Sensitivity of the macroscopic response of elastic microstructures to the insertion of inclusions”, Proc. R. Soc. A., 466, № 2118, 2010, 1703