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Nazarov, S.A. and Sokołowski, J. (2003) Asymptotic Analysis of Shape Functionals. Journal de Mathématiques Pures et Appliquées, 82, 125-196.
https://doi.org/10.1016/s0021-7824(03)00004-7

has been cited by the following article:

• TITLE: Topological Optimization of a Generalized Model of Pollution in Porous Media without Density Assumptions

  AUTHORS: Mouhamadou Baïdy Dia, Ibrahima Sagno, Lansana Toure, Mouctar Ndiaye, Alassane Sy, Ibrahima Faye

  KEYWORDS: Topological Gradient, Pollutant Transfer, Porous Media, Least-Squares Functional, Topological Optimization, Topological Gradient Descent of Direction

  JOURNAL NAME: Open Journal of Optimization, Vol.14 No.3, July 25, 2025

  ABSTRACT: This study focuses on the numerical topological gradient applied to a model of pollutant transfer in porous media, obtained by removing assumptions regarding critical parameters such as density and conductivity. A generalized model of pollutant transport dynamics in porous media was developed without any assumptions regarding the density and conductivity. Topological optimization is then applied to minimize the least-squares function associated with the system representing the model. This study demonstrates the effectiveness of this approach in both two-dimensional (2D) and three-dimensional (3D) configurations, providing insights into the optimal structural design of porous media to mitigate pollution transfer.