A simplified derivation technique of topological derivatives for quasi-linear transmission problems
ESAIM: COCV, 26 (2020) 106
Published online: 2020-12-10
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:
This article has been cited by the following article(s):
Topological Derivative‐Based Topology Optimization of Linearized Viscous Shallow Water Equation
Mame Gor Ngom, Bakary Kourouma, Ibrahima Faye, Diaraf Seck and Anwar Saleh AlwardiInternational Journal of Mathematics and Mathematical Sciences 2026 (1) (2026)
https://doi.org/10.1155/ijmm/9940986
Control in the coefficients of an elliptic differential operator: Topological derivatives and Pontryagin maximum principle
Daniel WachsmuthMathematical Control and Related Fields 15 (4) 1646 (2025)
https://doi.org/10.3934/mcrf.2024052
A Novel Deflation Approach for Topology Optimization and Application for Optimization of Bipolar Plates of Electrolysis Cells
Leon Baeck, Sebastian Blauth, Christian Leithäuser, René Pinnau and Kevin SturmSIAM Journal on Scientific Computing 47 (6) B1369 (2025)
https://doi.org/10.1137/24M1670913
Vertex Characterization Via Second-Order Topological Derivatives
Peter Gangl, Bochra Mejri and Otmar ScherzerJournal of Mathematical Imaging and Vision 67 (5) (2025)
https://doi.org/10.1007/s10851-025-01269-3
Multi-material topology optimization of electric machines under maximum temperature and stress constraints
Peter Gangl, Nepomuk Krenn and Herbert De GersemApplied Mathematical Modelling 116347 (2025)
https://doi.org/10.1016/j.apm.2025.116347
Complete topological asymptotic expansion for L2 and H1 tracking-type cost functionals in dimension two and three
Phillip Baumann, Peter Gangl and Kevin SturmJournal of Differential Equations 412 568 (2024)
https://doi.org/10.1016/j.jde.2024.08.050
Efficient and Accurate Separable Models for Discretized Material Optimization: A Continuous Perspective Based on Topological Derivatives
Peter Gangl, Nico Nees and Michael StinglThe Journal of Geometric Analysis 34 (7) (2024)
https://doi.org/10.1007/s12220-024-01663-0
Topology optimization of a rotating electric machine by the topological derivative
Peter Gangl and Nepomuk KrennPAMM 23 (1) (2023)
https://doi.org/10.1002/pamm.202200052
Quasi-Newton methods for topology optimization using a level-set method
Sebastian Blauth and Kevin SturmStructural and Multidisciplinary Optimization 66 (9) (2023)
https://doi.org/10.1007/s00158-023-03653-2
One-Sided Derivative of Parametrized Minima for Shape and Topological Derivatives
Michel C. DelfourSIAM 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. GfrererApplied Mathematics & Optimization 88 (2) (2023)
https://doi.org/10.1007/s00245-023-10016-2
The Topological State Derivative: An Optimal Control Perspective on Topology Optimisation
Phillip Baumann, Idriss Mazari-Fouquer and Kevin SturmThe Journal of Geometric Analysis 33 (8) (2023)
https://doi.org/10.1007/s12220-023-01295-w
Automated computation of topological derivatives with application to nonlinear elasticity and reaction–diffusion problems
P. Gangl and K. SturmComputer 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 TibaJournal of Differential Equations 321 1 (2022)
https://doi.org/10.1016/j.jde.2022.03.007
Topological Derivative for PDEs on Surfaces
Peter Gangl and Kevin SturmSIAM Journal on Control and Optimization 60 (1) 81 (2022)
https://doi.org/10.1137/20M1339040