Communication dans un congrès
Titre :
Numerical and theoretical analysis for optimal shape inverse problem, Second International
Auteurs :
Guillaume Itbadio Sadio, Aliou Seck, Diaraf Seck
Résumé :
In this paper, we are interested in the numerical shape recognition. This work takes into account some theoretical results already established the paper published by Ndiaye et al. (Bull Math Anal Appl 4(1):91–103, 2012) and provides additional tools of shape optimization under constraints described by non linear parabolic PDE. We propose also algorithms and numerical methods to recognize an unattainable part of a bounded domain in which an elliptic linear boundary value problem is satisfied.
Mots-clés :
Shape optimization - Shape derivative - Maximum principle - Comparison principle - PDE - Lagrangian - Minimax - Algorithmic optimization - Augmented Lagrangian
Congrès :
Second International Symposium of Non-Linear Analysis Geometry and Applications
Date :
26-29 Janvier 2022
Ville :
Ziguinchor
Pays :
Senegal
Pages :
275-315
Date de publication :
April 2022
Lien de la publication :
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