%0 Journal Article
%T Shape and Topological Derivative Using Minmax Method: Application to Linear Thermoelasticity Problem
%A Malick Fall
%A Bakary Kourouma
%A Moussa Gaye
%A Ibrahima Faye
%A Alassane Sy
%A Diaraf Seck
%J Open Journal of Optimization
%P 41-62
%@ 2325-7091
%D 2025
%I Scientific Research Publishing
%R 10.4236/ojop.2025.142004
%X 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.
%K Shape Derivative
%K Topological Derivative
%K Minmax
%K Thermoelasticity Problem
%K Shape Gradient
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=143334