Multi-object segmentation approach based on topological derivative and level set method. - Danubia de Araujo Machado; Gilson Antonio Giraldi; Antonio André Novotny (Integr. Comput. Aided Eng., 2011)

A new method for inverse electromagnetic casting problems based on the topological derivative. - Alfredo Canelas; Antonio André Novotny; Jean-Rodolphe Roche (J. Comput. Phys., 2011)

Application of topological derivative to accelerate genetic algorithm in shape optimization of coupled models. - Antonio André Novotny; Katarzyna Szulc; Antoni Zochowski (MMAR, 2012)

Second-order topological expansion for electrical impedance tomography. - Michael Hintermüller; Antoine Laurain; Antonio André Novotny (Adv. Comput. Math., 2012)

A new reconstruction method for the inverse potential problem. - Alfredo Canelas; Antoine Laurain; Antonio André Novotny (J. Comput. Phys., 2014)

Optimum Design of Flextensional Piezoelectric Actuators into Two Spatial Dimensions. - R. Amigo; Sebastian M. Giusti; Antonio André Novotny; Emílio Carlos Nelli Silva; Jan Sokolowski (SIAM J. Control. Optim., 2016)

Asymptotic analysis of variational inequalities with applications to optimum design in elasticity. - Cinthia Gomes Lopes; Renatha Batista dos Santos; Antonio André Novotny; Jan Sokolowski (Asymptot. Anal., 2017)

Topological asymptotic analysis of an optimal control problem modeled by a coupled system. - Lucas S. Fernández; Antonio André Novotny; Ravi Prakash 004 (Asymptot. Anal., 2018)

Topological Derivatives of Shape Functionals. Part I: Theory in Singularly Perturbed Geometrical Domains. - Antonio André Novotny; Jan Sokolowski; Antoni Zochowski (J. Optim. Theory Appl., 2019)

Topological Derivatives of Shape Functionals. Part II: First-Order Method and Applications. - Antonio André Novotny; Jan Sokolowski; Antoni Zochowski (J. Optim. Theory Appl., 2019)

Topological Derivatives of Shape Functionals. Part III: Second-Order Method and Applications. - Antonio André Novotny; Jan Sokolowski; Antoni Zochowski (J. Optim. Theory Appl., 2019)

A priori error estimates for local reliability-based sensitivity analysis with Monte Carlo Simulation. - André Jacomel Torii; Antonio André Novotny (Reliab. Eng. Syst. Saf., 2021)

Full-waveform reconstruction of micro-seismic events via topological derivative approach. - A. A. M. da Silva; Antonio André Novotny; A. A. S. Amad; Bojan B. Guzina (J. Comput. Phys., 2024)

On robustness to a topological perturbation in fluid mechanics. - Merwan Abdelbari; Khadra Nachi; Jan Sokolowski; Antonio André Novotny (Int. J. Appl. Math. Comput. Sci., 2025)