Fernandez, L.; Novotny, A. A.; Prakash, R.; Sokołowski, J. Pollution sources reconstruction based on the topological derivative method. (English) Zbl 1473.49046 Appl. Math. Optim. 84, No. 2, 1493-1525 (2021). MSC: 49Q10 49N45 PDFBibTeX XMLCite \textit{L. Fernandez} et al., Appl. Math. Optim. 84, No. 2, 1493--1525 (2021; Zbl 1473.49046) Full Text: DOI
Novotny, Antonio André; Sokołowski, Jan An introduction to the topological derivative method. (English) Zbl 1444.49001 SpringerBriefs in Mathematics. Cham: Springer (ISBN 978-3-030-36914-9/pbk; 978-3-030-36915-6/ebook). x, 114 p. (2020). Reviewer: Andrew Bucki (Edmond) MSC: 49-01 49Q10 49J20 35J20 90-01 65-01 49-02 54C56 94A08 74A45 49Q12 65K10 PDFBibTeX XMLCite \textit{A. A. Novotny} and \textit{J. Sokołowski}, An introduction to the topological derivative method. Cham: Springer (2020; Zbl 1444.49001) Full Text: DOI
Novotny, Antonio André; Sokołowski, Jan; Żochowski, Antoni Topological derivatives of shape functionals. II: First-order method and applications. (English) Zbl 1414.49045 J. Optim. Theory Appl. 180, No. 3, 683-710 (2019). MSC: 49Q10 35Q74 49J20 49M05 PDFBibTeX XMLCite \textit{A. A. Novotny} et al., J. Optim. Theory Appl. 180, No. 3, 683--710 (2019; Zbl 1414.49045) Full Text: DOI
Novotny, Antonio André; Sokołowski, Jan; Żochowski, Antoni Applications of the topological derivative method. (English) Zbl 1460.74001 Studies in Systems, Decision and Control 188. Cham: Springer (ISBN 978-3-030-05431-1/hbk; 978-3-030-05432-8/ebook). xiv, 212 p. (2019). Reviewer: Teodor Atanacković (Novi Sad) MSC: 74-02 74P15 74S99 74K99 65K10 PDFBibTeX XMLCite \textit{A. A. Novotny} et al., Applications of the topological derivative method. Cham: Springer (2019; Zbl 1460.74001) Full Text: DOI
Amstutz, Samuel; Novotny, Antonio André; Van Goethem, Nicolas Topological sensitivity analysis for elliptic differential operators of order \(2{m}\). (English) Zbl 1285.49034 J. Differ. Equations 256, No. 4, 1735-1770 (2014). MSC: 49Q12 49Q10 PDFBibTeX XMLCite \textit{S. Amstutz} et al., J. Differ. Equations 256, No. 4, 1735--1770 (2014; Zbl 1285.49034) Full Text: DOI
Hintermüller, M.; Laurain, A.; Novotny, A. A. Second-order topological expansion for electrical impedance tomography. (English) Zbl 1243.49049 Adv. Comput. Math. 36, No. 2, 235-265 (2012). MSC: 49Q10 49K21 49N45 PDFBibTeX XMLCite \textit{M. Hintermüller} et al., Adv. Comput. Math. 36, No. 2, 235--265 (2012; Zbl 1243.49049) Full Text: DOI Link
Hlaváček, I.; Novotny, A. A.; Sokołowski, J.; Żochowski, A. On topological derivatives for elastic solids with uncertain input data. (English) Zbl 1215.74065 J. Optim. Theory Appl. 141, No. 3, 569-595 (2009). Reviewer: Tran Nhu Pham (Hanoi) MSC: 74P15 74B05 PDFBibTeX XMLCite \textit{I. Hlaváček} et al., J. Optim. Theory Appl. 141, No. 3, 569--595 (2009; Zbl 1215.74065) Full Text: DOI
Giusti, S. M.; Novotny, A. A.; Padra, C. Topological sensitivity analysis of inclusion in two-dimensional linear elasticity. (English) Zbl 1244.74106 Eng. Anal. Bound. Elem. 32, No. 11, 926-935 (2008). MSC: 74P15 74B05 74E05 PDFBibTeX XMLCite \textit{S. M. Giusti} et al., Eng. Anal. Bound. Elem. 32, No. 11, 926--935 (2008; Zbl 1244.74106) Full Text: DOI
Novotny, A. A.; Feijóo, R. A.; Taroco, E.; Padra, C. Topological sensitivity analysis for three-dimensional linear elasticity problem. (English) Zbl 1173.74374 Comput. Methods Appl. Mech. Eng. 196, No. 41-44, 4354-4364 (2007). MSC: 74P15 74B05 PDFBibTeX XMLCite \textit{A. A. Novotny} et al., Comput. Methods Appl. Mech. Eng. 196, No. 41--44, 4354--4364 (2007; Zbl 1173.74374) Full Text: DOI
Novotny, A.; Feijóo, R.; Padra, C.; Taroco, E. Topological derivative for linear elastic plate bending problems. (English) Zbl 1167.74487 Control Cybern. 34, No. 1, 339-361 (2005). MSC: 74K20 49Q20 49Q10 74G15 74G65 74P05 PDFBibTeX XMLCite \textit{A. Novotny} et al., Control Cybern. 34, No. 1, 339--361 (2005; Zbl 1167.74487) Full Text: EuDML
Feijóo, Raúl A.; Novotny, Antonio A.; Taroco, Edgardo; Padra, Claudio The topological derivative for the Poisson’s problem. (English) Zbl 1063.49030 Math. Models Methods Appl. Sci. 13, No. 12, 1825-1844 (2003). MSC: 49Q12 35J25 35B40 PDFBibTeX XMLCite \textit{R. A. Feijóo} et al., Math. Models Methods Appl. Sci. 13, No. 12, 1825--1844 (2003; Zbl 1063.49030) Full Text: DOI
Novotny, A. A.; Feijóo, R. A.; Taroco, E.; Padra, C. Topological sensitivity analysis. (English) Zbl 1025.74025 Comput. Methods Appl. Mech. Eng. 192, No. 7-8, 803-829 (2003). MSC: 74P15 PDFBibTeX XMLCite \textit{A. A. Novotny} et al., Comput. Methods Appl. Mech. Eng. 192, No. 7--8, 803--829 (2003; Zbl 1025.74025) Full Text: DOI