3 citations · 10 across the 37 of their papers we have counts for
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Multilevel Isogeometric Projection Stabilization via Quasi-Interpolation for Advection-Dominated Problems
Zakaria El Hasnaoui, Ahmed Ratnani
This paper presents a novel multilevel projection-based stabilization method for advection-dominated convection--diffusion problems within the framework of Isogeometric Analysis. T…
Block Schwarz methods and preconditioning strategies using Generalized locally Toeplitz tools - part I: analysis of the preconditioners and numerical validation
Abdessadek Rifqui, Ahmed Ratnani, Stefano Serra-Capizzano
In the current work we present a spectral analysis of the additive and multiplicative Schwarz methods within the framework of domain decomposition techniques, by investigating the…
IGA Laplace Eigenfrequencies Distributions and Estimations: Impact of Reparametrization on Eigenfrequency Behavior
Lamsahel Noureddine, Abdeladim El Akri, Ahmed Ratnani
This work addresses the Galerkin isogeometric discretization of the one-dimensional Laplace eigenvalue problem subject to homogeneous Dirichlet boundary conditions on a bounded int…
Outlier-free isogeometric discretizations for Laplace eigenvalue problems: closed-form eigenvalue and eigenvector expressions
Noureddine Lamsahel, Carla Manni, Ahmed Ratnani +2
We derive explicit closed-form expressions for the eigenvalues and eigenvectors of the matrices resulting from isogeometric Galerkin discretizations based on outlier-free spline su…
Trace Ratio vs Ratio Trace Methods for Multidimensional Dimensionality Reduction
Alaeddine Zahir, Franck Dufrenois, Khalide Jbilou +1
We propose a higher-order dimensionality reduction framework based on the Trace Ratio (TR) optimization problem. We establish conditions for existence and uniqueness of solutions a…
Enhancing multigrid solvers for isogeometric analysis of nonlinear problems using polynomial extrapolation techniques
Abdellatif Mouhssine, Ahmed Ratnani, Hassane Sadok
When used to accelerate the convergence of fixed-point iterative methods, such as the Picard method, which is a kind of nonlinear fixed-point iteration, polynomial extrapolation te…