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Akademický článek

Digital transformation metamodel in smart farming: Crop classification prediction based on recurrent neural network

Autor: Loubna Rabhi, Brahim Jabir, Noureddine Falih, Lekbir Afraites, Belaid Bouikhalene

Publikováno v: Foods and Raw Materials, Vol 13, Iss 1, Pp 107-118 (2025)

Agriculture 4.0 is an opportunity for farmers to meet the current challenges in food production. It has become necessary to adopt a set of agricultural practices based on advanced technologies. Agriculture 4.0 enables farms to create added value by c

Externí odkaz: https://doaj.org/article/d8d1353cf37f427fb8a5dd1dec3dc4e8

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Akademický článek

Optimal control for a two-sidedly degenerate aggregation equation

Autor: Mostafa Bendahmane, Fahd Karami, Elmahdi Erraji, Abdelghafour Atlas, Lekbir Afraites

Publikováno v: Nonlinear Analysis, Vol 28 (2023)

In this paper, we are concerned with the study of the mathematical analysis for an optimal control of a nonlocal degenerate aggregation model. This model describes the aggregation of organisms such as pedestrian movements, chemotaxis, animal swarming

Externí odkaz: https://doaj.org/article/4a5bcd05c93b459c8839f6ce0a6aa1a2

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Akademický článek

An improved coupled PDE system applied to the inverse image denoising problem

Autor: Abdelmajid El Hakoume, Lekbir Afraites, Amine Laghrib

Publikováno v: Electronic Research Archive, Vol 30, Iss 7, Pp 2618-2642 (2022)

The problem of interest in this paper is the mathematical and numerical analysis of a new non-variational model based on a high order non-linear PDE system resulting from image denoising. This model is motivated by involving the decomposition approac

Externí odkaz: https://doaj.org/article/fe1eb066fd314ba89363abaac737f054

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Boundary shape reconstruction with Robin condition: existence result, stability analysis, and inversion via multiple measurements

Autor: Afraites, Lekbir, Rabago, Julius Fergy Tiongson

This study revisits the problem of identifying the unknown interior Robin boundary of a connected domain using Cauchy data from the exterior region of a harmonic function. It investigates two shape optimization reformulations employing least-squares

Externí odkaz: http://arxiv.org/abs/2404.05202

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Detecting immersed obstacle in Stokes fluid flow using the coupled complex boundary method

Autor: Rabago, Julius Fergy Tiongson, Afraites, Lekbir, Notsu, Hirofumi

A non-conventional shape optimization approach is introduced to address the identification of an obstacle immersed in a fluid described by the Stokes equation within a larger bounded domain, relying on boundary measurements on the accessible surface.

Externí odkaz: http://arxiv.org/abs/2403.11819

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A robust alternating direction numerical scheme in a shape optimization setting for solving geometric inverse problems

Autor: Rabago, Julius Fergy Tiongson, Hadri, Aissam, Afraites, Lekbir, Hendy, Ahmed S., Zaky, Mahmoud A.

The alternating direction method of multipliers within a shape optimization framework is developed for solving geometric inverse problems, focusing on a cavity identification problem from the perspective of non-destructive testing and evaluation tech

Externí odkaz: http://arxiv.org/abs/2301.10355

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