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Novotny, A.A., Sokołowski, J. and Żochowski, A. (2018) Topological Derivatives of Shape Functionals. Part I: Theory in Singularly Perturbed Geometrical Domains. Journal of Optimization Theory and Applications, 180, 341-373.
https://doi.org/10.1007/s10957-018-1417-z

has been cited by the following article:

• TITLE: Shape and Topological Derivative Using Minmax Method: Application to Linear Thermoelasticity Problem

  AUTHORS: Malick Fall, Bakary Kourouma, Moussa Gaye, Ibrahima Faye, Alassane Sy, Diaraf Seck

  KEYWORDS: Shape Derivative, Topological Derivative, Minmax, Thermoelasticity Problem, Shape Gradient

  JOURNAL NAME: Open Journal of Optimization, Vol.14 No.2, June 17, 2025

  ABSTRACT: We consider shape and topological optimization problems for thermoelasticity. A model of thermoelasticity problem is first proposed before presenting the models for which a mathematical analysis will be provided. Under mild conditions, we establish shape and topological derivative results using the minmax method with constrained partial differential equations from the model in the stationary case.