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Topological Derivatives of Shape Functionals. Part II: First-Order Method and Applications
Antonio André Novotny, Jan Sokołowski and Antoni Żochowski Journal of Optimization Theory and Applications 180(3) 683 (2019) https://doi.org/10.1007/s10957-018-1419-x
Kohn–Vogelius formulation and topological sensitivity analysis based method for solving geometric inverse problems
Design optimization of laminar flow machine rotors based on the topological derivative concept
L. F. N. Sá, A. A. Novotny, J. S. Romero and E. C. N. Silva Structural and Multidisciplinary Optimization 56(5) 1013 (2017) https://doi.org/10.1007/s00158-017-1698-0
Topological derivatives applied to fluid flow channel design optimization problems
L. F. N. Sá, R. C. R. Amigo, A. A. Novotny and E. C. N. Silva Structural and Multidisciplinary Optimization 54(2) 249 (2016) https://doi.org/10.1007/s00158-016-1399-0
The extended adjoint method
Stanislas Larnier and Mohamed Masmoudi ESAIM: Mathematical Modelling and Numerical Analysis 47(1) 83 (2013) https://doi.org/10.1051/m2an/2012020
Optimal shape design for fluid flow using topological perturbation technique