Year: 2025
Type: article
Abstract: In this work, let us deal with existence and derivation results in shape optimization. It should be noted that a shape optimization problem does not generally have a solution with only its initial data. To get around the non-existence of solution, we impose geometric order restrictions (i.e. volume type) and we work with the open class checking the cone property to obtain existence. On the other hand, we determine the shape derivative using the Lagrange method. And then we establish the topological derivative using the minmax method.
Authors: Malick Fall, Equipe de recherche: Analyse Non-Lineaire et Geometrie/UAD., Bakary Kourouma, Mouhamadou Baidy Dia, Equipe de recherche: Analyse Non-Lineaire et Geometrie/UAD., Mame Gor Ngom, Equipe de recherche: Analyse Non-Lineaire et Geometrie/UAD., Laboratoire de Mathematiques de la Decision et dAnalyse Numerique (L.M.D.A.N).
Language: English
Subfield: Civil and Structural Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4408804350