3 papers
math.NA2026
A New Combination of Preconditioned Gradient Descent Methods and Vector Extrapolation Techniques for Nonlinear Least-Squares Problems
Abdellatif Mouhssine
Vector extrapolation methods are widely used in large-scale simulation studies, and numerous extrapolation-based acceleration techniques have been developed to enhance the converge…
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…
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…