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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…
math.NA2024
New preconditioner strategy for solving block four-by-four linear systems: An application to the saddle-point problem from 3D Stokes equation
Achraf Badahmane, Ahmed Ratnani, Hassane Sadok
We have presented a fast method for solving a specific type of block four-by-four saddlepoint problem arising from the finite element discretization of the generalized 3D Stokes pr…