Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Topological Asymptotic Analysis for a Time Fractional Identification Problem

Mohamed Abdelwahed, Nejmeddine Chorfi and Maatoug Hassine
Mathematical Methods in the Applied Sciences (2025)
https://doi.org/10.1002/mma.11120

Topological derivatives for shell structure optimization considering crash loadcases with material nonlinearities and large deformations

Katrin Weider and Axel Schumacher
Structural and Multidisciplinary Optimization 67 (7) (2024)
https://doi.org/10.1007/s00158-023-03711-9

Complete topological asymptotic expansion for L2 and H1 tracking-type cost functionals in dimension two and three

Phillip Baumann, Peter Gangl and Kevin Sturm
Journal of Differential Equations 412 568 (2024)
https://doi.org/10.1016/j.jde.2024.08.050

On second-order tensor representation of derivatives in shape optimization

Antoine Laurain and Pedro T. P. Lopes
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 382 (2277) (2024)
https://doi.org/10.1098/rsta.2023.0300

Damage identification in plate structures based on the topological derivative method

A. A. M. da Silva and A. A. Novotny
Structural and Multidisciplinary Optimization 65 (1) (2022)
https://doi.org/10.1007/s00158-021-03145-1

Sensitivity of the Second Order Homogenized Elasticity Tensor to Topological Microstructural Changes

V. Calisti, A. Lebée, A. A. Novotny and J. Sokolowski
Journal of Elasticity 144 (2) 141 (2021)
https://doi.org/10.1007/s10659-021-09836-6

Topological Derivative-Based Topology Optimization of Plate Structures Under Bending Effects

F. S. Carvalho, D. Ruscheinsky, S. M. Giusti, C. T. M. Anflor and A. A. Novotny
Structural and Multidisciplinary Optimization 63 (2) 617 (2021)
https://doi.org/10.1007/s00158-020-02710-4

A robust topological derivative-based multi-material optimization approach: Optimality condition and computational algorithm

A.A. Romero Onco and S.M. Giusti
Computer Methods in Applied Mechanics and Engineering 366 113044 (2020)
https://doi.org/10.1016/j.cma.2020.113044

Topological Derivatives of Shape Functionals. Part I: Theory in Singularly Perturbed Geometrical Domains

Antonio André Novotny, Jan Sokołowski and Antoni Żochowski
Journal of Optimization Theory and Applications (2018)
https://doi.org/10.1007/s10957-018-1417-z

Analysis of the Incompatibility Operator and Application in Intrinsic Elasticity with Dislocations

Samuel Amstutz and Nicolas Van Goethem
SIAM Journal on Mathematical Analysis 48 (1) 320 (2016)
https://doi.org/10.1137/15M1020113

Energy change to insertion of inclusions associated with the Reissner–Mindlin plate bending model

V. Sales, A.A. Novotny and J.E. Muñoz Rivera
International Journal of Solids and Structures 59 132 (2015)
https://doi.org/10.1016/j.ijsolstr.2015.01.019

Topological gradient for a fourth order operator used in image analysis

Gilles Aubert and Audric Drogoul
ESAIM: Control, Optimisation and Calculus of Variations 21 (4) 1120 (2015)
https://doi.org/10.1051/cocv/2014061

Topological gradient for fourth-order PDE and application to the detection of fine structures in 2D images

Gilles Aubert and Audric Drogoul
Comptes Rendus. Mathématique 352 (7-8) 609 (2014)
https://doi.org/10.1016/j.crma.2014.06.005

Topological sensitivity analysis for elliptic differential operators of order 2 m

Samuel Amstutz, Antonio André Novotny and Nicolas Van Goethem
Journal of Differential Equations 256 (4) 1735 (2014)
https://doi.org/10.1016/j.jde.2013.12.005

A new method for inverse electromagnetic casting problems based on the topological derivative

Alfredo Canelas, Antonio A. Novotny and Jean R. Roche
Journal of Computational Physics 230 (9) 3570 (2011)
https://doi.org/10.1016/j.jcp.2011.01.049