Optimization Methods in Engineering Mathematics

A special issue of Mathematics (ISSN 2227-7390).

Deadline for manuscript submissions: 31 July 2024 | Viewed by 1086

Special Issue Editors


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Guest Editor
ECE-Paris Engineering School, 37 Quai de Grenelle, CS-71520, CEDEX 15, 75015 Paris, France
Interests: financial engineering mathematics; shape optimization

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Guest Editor
Laboratoire de Mathématiques Nicolas Oresme, Université de Caen, 14000 Caen, France
Interests: numerical analysis methods; computational mathematics engineering; applied and computational mathematics; water quality; multiphase flow modeling

Special Issue Information

Dear Colleagues,

We are pleased to announce the launch of a Special Issue on the important scientific topic of “Optimization Methods in Engineering Mathematics” for Mathematics. This Special Issue aims to explore the most recent developments in the application of control and optimization techniques, and covers a broad area of research activities in control, modeling, analysis, and optimization: optimization in energy, control of PDEs, computational mathematics for control and optimization, data assimilation, control techniques for financial mathematics, optimization in health care, and control of biological systems.

Dr. Houari Mechkour
Prof. Dr. Mohammed Louaked
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • optimization in science and engineering
  • PDE-constrained optimization
  • optimization algorithms and solution techniques
  • analysis and control of nonlinear systems
  • data assimilation
  • industrial applications

Published Papers (1 paper)

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Research

17 pages, 4502 KiB  
Article
Optimal Control Strategies for Mitigating Urban Heat Island Intensity in Porous Urban Environments
by Nacer Sellila, Mohammed Louaked, Waleed Mouhali and Houari Mechkour
Mathematics 2023, 11(23), 4737; https://doi.org/10.3390/math11234737 - 23 Nov 2023
Viewed by 800
Abstract
This work is intended as an attempt to explore the use of optimal control techniques for designing green spaces and for dealing with the environmental problems related to urban heat islands appearing in cities. A three-dimensional model is established for numerical studies of [...] Read more.
This work is intended as an attempt to explore the use of optimal control techniques for designing green spaces and for dealing with the environmental problems related to urban heat islands appearing in cities. A three-dimensional model is established for numerical studies of the effects of urban anthropogenic heat and wind velocity in urban and rural regions. The transport mechanism of fluid in the cities is governed by the Navier–Stokes–Forschheimer porous media system. We introduce the penalty approximation method to overcome the difficulty induced by the incompressibility constraint. The partial differential equation optimal control problem is solved by using a Spectral Projected Gradient algorithm. To validate the method, we implement a numerical scheme, based on a finite element method, employing the free software FreeFem++ 14.3. We show the results for the optimized and non-optimized situations to compare the two cases. Full article
(This article belongs to the Special Issue Optimization Methods in Engineering Mathematics)
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