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
- Istituto Nazionale di Fisica Nucleare, Sezione di NapoliIT208 papers
- Jagiellonian UniversityPL208 papers
- National Centre of Scientific Research "Demokritos"GR208 papers
- Tbilisi State UniversityGE208 papers
- Université Paris-SaclayFR208 papers
Showing 2025 · math.NAShow all
3 papers · 2 filters
math.NA2025★ 2 cited
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…
math.NA2025★ 1 cited
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…
math.NA2025
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…