activity
20122026
most citedIsogeometric analysis for 2D and 3D curl-div problems: Spectral symbols and fast iterative solvers

12 citations · 26 across the 46 of their papers we have counts for

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Showing 2024Show all

9 papers · 1 filter

math.NA2024

Vector Extrapolation Methods Applied To Geometric Multigrid Solvers For Isogeometric Analysis

Abdellatif Mouhssine, Ahmed Ratnani, Hassane Sadok

In the present work, we study how to develop an efficient solver for the fast resolution of large and sparse linear systems that occur while discretizing elliptic partial different…

math.AP2024

Stability of backward inverse problems for degenerate mean-field game systems

S. E. Chorfi, A. Habbal, M. Jahid +2

We investigate inverse backward-in-time problems for a class of second-order degenerate Mean-Field Game (MFG) systems. More precisely, given the final datum $(u(\cdot, T),m(\cdot,…

math.NA2024

Novel Approach for solving the discrete Stokes problems based on Augmented Lagrangian and Global Techniques: Application to Saddle-Point Linear Systems from Incompressible flow

A. Badahmane, A. Ratnani, H. Sadok

In this paper, a novel augmented Lagrangian preconditioner based on global Arnoldi for accelerating the convergence of Krylov subspace methods applied to linear systems of equation…

math.NA2024★ 1 cited

Quaternion tensor low rank Quaternion tensor low-rank approximation using a family of non-convex norms

Alaeddine Zahir, Ahmed Ratnani, Khalide Jbilou

In this paper, we propose a new approaches for low rank approximation of quaternion tensors \cite{chen2019low,zhang1997quaternions,hamilton1866elements}. The first method uses quas…

math.NA2024

Non-negative Einstein tensor factorization for unmixing hyperspectral images

Anas El Hachimi, Khalide Jbilou, Ahmed Ratnani

In this manuscript, we introduce a tensor-based approach to Non-Negative Tensor Factorization (NTF). The method entails tensor dimension reduction through the utilization of the Ei…

math.NA2024★ 1 cited

Higher order multi-dimension reduction methods via Einstein product

Alaeddine Zahir, Khalide Jbilou, Ahmed Ratnani

This paper explores the extension of dimension reduction (DR) techniques to the multi-dimension case by using the Einstein product. Our focus lies on graph-based methods, encompass…