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Cited article:

Control in the coefficients of an elliptic differential operator: Topological derivatives and Pontryagin maximum principle

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Mathematical Control and Related Fields (2024)
https://doi.org/10.3934/mcrf.2024052

Efficient and Accurate Separable Models for Discretized Material Optimization: A Continuous Perspective Based on Topological Derivatives

Peter Gangl, Nico Nees and Michael Stingl
The Journal of Geometric Analysis 34 (7) (2024)
https://doi.org/10.1007/s12220-024-01663-0

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

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Journal of Differential Equations 412 568 (2024)
https://doi.org/10.1016/j.jde.2024.08.050

The Topological State Derivative: An Optimal Control Perspective on Topology Optimisation

Phillip Baumann, Idriss Mazari-Fouquer and Kevin Sturm
The Journal of Geometric Analysis 33 (8) (2023)
https://doi.org/10.1007/s12220-023-01295-w

One-Sided Derivative of Parametrized Minima for Shape and Topological Derivatives

Michel C. Delfour
SIAM Journal on Control and Optimization 61 (3) 1322 (2023)
https://doi.org/10.1137/22M1483001

A Unified Approach to Shape and Topological Sensitivity Analysis of Discretized Optimal Design Problems

P. Gangl and M. H. Gfrerer
Applied Mathematics & Optimization 88 (2) (2023)
https://doi.org/10.1007/s00245-023-10016-2

Automated computation of topological derivatives with application to nonlinear elasticity and reaction–diffusion problems

P. Gangl and K. Sturm
Computer Methods in Applied Mechanics and Engineering 398 115288 (2022)
https://doi.org/10.1016/j.cma.2022.115288

Periodic Hamiltonian systems in shape optimization problems with Neumann boundary conditions

Cornel Marius Murea and Dan Tiba
Journal of Differential Equations 321 1 (2022)
https://doi.org/10.1016/j.jde.2022.03.007