A long short-term memory embedding for hybrid uplifted reduced order models

SE Ahmed, O San, A Rasheed, T Iliescu - Physica D: Nonlinear Phenomena, 2020 - Elsevier
In this paper, we introduce an uplifted reduced order modeling (UROM) approach through
the integration of standard projection based methods with long short-term memory (LSTM) …

Greedy identification of latent dynamics from parametric flow data

M Oulghelou, A Ammar, R Ayoub - Computer Methods in Applied …, 2024 - Elsevier
Projection-based reduced-order models (ROMs) play a crucial role in simplifying the
complex dynamics of fluid systems. Such models are achieved by projecting the Navier …

Non intrusive method for parametric model order reduction using a bi-calibrated interpolation on the grassmann manifold

M Oulghelou, C Allery - Journal of Computational Physics, 2021 - Elsevier
Approximating solutions of non-linear parametrized physical problems by interpolation
presents a major challenge in terms of accuracy. In fact, pointwise interpolation of such …

Parametric reduced order models based on a Riemannian barycentric interpolation

M Oulghelou, C Allery… - International Journal for …, 2021 - Wiley Online Library
A new strategy for constructing parametric Galerkin reduced order models is presented in
this article. This strategy is achieved thanks to the Riemannian manifold, quotient of the set …

Stiefel manifold interpolation for non-intrusive model reduction of parameterized fluid flow problems

A El Omari, M El Khlifi, L Cordier - Journal of Computational Physics, 2025 - Elsevier
Many engineering problems are parameterized. In order to minimize the computational cost
necessary to evaluate a new operating point, the interpolation of singular matrices …

A surrogate optimization approach for inverse problems: Application to turbulent mixed-convection flows

M Oulghelou, C Beghein, C Allery - Computers & Fluids, 2022 - Elsevier
Optimal control of turbulent mixed-convection flows has attracted considerable attention from
researchers. Numerical algorithms such as Genetic Algorithms (GAs) are powerful tools that …

[HTML][HTML] Enhancing data representation in forging processes: Investigating discretization and R-adaptivity strategies with Proper Orthogonal Decomposition reduction

D Uribe, C Durand, C Baudouin, R Bigot - Finite Elements in Analysis and …, 2024 - Elsevier
Effective data reduction techniques are crucial for enhancing computational efficiency in
complex industrial processes such as forging. In this study, we investigate various …

[HTML][HTML] Order reduction of matrix exponentials by proper orthogonal decomposition

MD Nayyeri, M Alinejadmofrad - Results in Applied Mathematics, 2023 - Elsevier
Many applications of the matrix exponential exp (A t) of a real matrix A and a real parameter t
require repeated evaluation of it for different values of t. Such evaluations are time …

Non‐intrusive reduced genetic algorithm for near‐real time flow optimal control

M Oulghelou, C Allery - International Journal for Numerical …, 2020 - Wiley Online Library
Most genetic algorithms (GAs) used in the literature to solve control problems are time
consuming and involve important storage memory requirements. In fact, the search in GAs is …

Reduced-order finite element approximation based on POD for the parabolic optimal control problem

J Song, H Rui - Numerical Algorithms, 2024 - Springer
In this paper, we construct a reduced-order finite element (ROFE) method holding seldom
unknowns for the parabolic optimal control problem. We apply the proper orthogonal …