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.