Lekbir Afraites is a Professor of Higher Education at the University Sultan Moulay Slimane, Faculty of Sciences and Techniques in Béni Mellal, Morocco. He holds a Doctorate in Applied Mathematics and has a strong background in optimization, numerical analysis, and computational mathematics. With extensive experience in both academia and research, he has contributed significantly to various fields including inverse problems, image processing, and mathematical modeling.
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It seems like you’ve provided information about an author named Afraites Lekbir, affiliated with Université Sultan Moulay Slimane in Beni Mellal, Morocco. Here’s a summary of their academic profile based on the provided information:
- Citations: 287 citations by 214 documents
- Documents: 36
- h-index: 10
Education
Afraites obtained his Doctorate in Applied Mathematics from the University of Technologie de Compiègne, France, in 2007. Prior to that, he completed his D.E.A in Analyse Numérique at the University Paris Sud, France, and his Maîtrise in Mathématiques Appliquées at the University Cadi Ayyad de Marrakech, Morocco. His academic journey began with a Baccalauréat in Sciences Mathématiques from Lycée Royale de l’Air, Marrakech, Morocco.
Research Focus
His research primarily focuses on several areas including:
- Problème inverse
- Optimisation de forme
- Analyse numérique
- Méthodes heuristiques et optimisation globale
- Identification des paramètres dans des modèles fractionnaires en temps
- Traitement d’images
- Réseaux de neurones
Professional Journey
Afraites has held various academic and research positions throughout his career. He started as a Doctoral Researcher at the University of Technologie de Compiègne, France, and later served as a Post-Doctoral Researcher at the Laboratoire des Technologies de la Microéléctronique, CEA Grenoble, France. He has also worked as a Professor Assistant at both Université Sultan Moulay Slimane and Université Cadi Ayyad, contributing to teaching and research activities. Additionally, he has been involved in administrative roles such as being a member of university and departmental councils.
Honors & Awards
Throughout his career, Afraites has received recognition for his contributions to the field of mathematics and applied sciences. Although specific honors and awards are not mentioned in the provided information, his extensive publication record and participation in international conferences indicate his standing in the academic community.
Publications Noted & Contributions
Afraites has made significant contributions to his field through numerous publications in prestigious journals and conferences. His research covers a wide range of topics including inverse problems, image denoising, optimization, and mathematical modeling. Some of his notable publications include works on identifying unknown parameters in fractional diffusion equations, shape optimization techniques, and image denoising algorithms.
Alternating direction multiplier method to estimate an unknown source term in the time-fractional diffusion equation” by A. Oulmelk, L. Afraites, A. Hadri, M.A. Zaky, and A.S. Hendy (Computers & Mathematics with Applications, 2024):
- This paper likely introduces an alternating direction multiplier method (ADMM) for estimating an unknown source term in the time-fractional diffusion equation. ADMM is a popular optimization technique for solving constrained optimization problems by decomposing them into simpler subproblems.
“On a Mathematical Analysis of a Coupled System Adapted to MRI Image Denoising” by A.E. Hakoume, Z. Zaabouli, L. Afraites, and A. Laghrib (Journal of Nonlinear Science, 2023):
- This article explores mathematical analysis related to a coupled system designed for MRI image denoising. The focus is likely on developing and analyzing mathematical models and algorithms for image denoising processes.
“Shape reconstruction for advection-diffusion problems by shape optimization techniques: The case of constant velocity” by E. Cherrat, L. Afraites, and J.F.T. Rabago (Discrete and Continuous Dynamical Systems-S, 2023):
- This paper discusses shape reconstruction methods for advection-diffusion problems, particularly focusing on cases involving constant velocity. Shape optimization techniques are likely employed to reconstruct shapes based on given data or constraints.
“An ADMM approach to a TV model for identifying two coefficients in the time-fractional diffusion system” by M. Srati, A. Oulmelk, L. Afraites, and A. Hadri (Fractional Calculus and Applied Analysis, 2023):
- This article probably presents an ADMM-based approach to a total variation (TV) model for identifying two coefficients in the time-fractional diffusion system. TV regularization is commonly used in image processing and inverse problems to encourage sparsity in the solution.
“Image Restoration Using a Coupled Reaction-Diffusion Equations” by A. El Hakoume, Z. Zaabouli, A. Laghrib, and L. Afaites:
- The details of this article are not fully provided, but it appears to focus on image restoration techniques using coupled reaction-diffusion equations. This approach likely involves mathematical modeling of the image restoration process based on reaction-diffusion principles.
Research Timeline
Afraites’ research journey spans over several years, starting from his doctoral studies in 2003 and continuing through his post-doctoral research and academic appointments. His research timeline includes significant milestones such as obtaining his doctorate, conducting post-doctoral research in France, and establishing himself as a respected academic in the field of applied mathematics.
