355 citations
- Czech Technical University in PragueCZ218 papers
- Mohammed V UniversityMA216 papers
- Université Paris CitéFR212 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di BolognaIT209 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di Roma IIT209 papers
- National Institute for Subatomic PhysicsNL209 papers
- Comenius University BratislavaSK208 papers
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10 papers · 1 filter
A finite element method using a bounded auxiliary variable for solving the Richards equation
Abderrahmane Benfanich, Yves Bourgault, Abdelaziz Beljadid
The Richards equation, a nonlinear elliptic parabolic equation, is widely used to model infiltration in porous media. We develop a finite element method for solving the Richards eq…
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…
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…
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…
A highly efficient finite volume method with a diffusion control parameter for hyperbolic problems
Wassim Aboussi, Moussa Ziggaf, Imad Kissami +1
This article proposes a highly accurate and conservative method for hyperbolic systems using the finite volume approach. This innovative scheme constructs the intermediate states a…
Tensor Golub Kahan based on Einstein product
Anas El Hachimi, Khalide Jbilou, Mustapha Hached +1
The Singular Value Decomposition (SVD) of matrices is a widely used tool in scientific computing. In many applications of machine learning, data analysis, signal and image processi…