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math.NA2024
Novel Approach for solving the discrete Stokes problems based on Augmented Lagrangian and Global Techniques: Application to Saddle-Point Linear Systems from Incompressible flow
A. Badahmane, A. Ratnani, H. Sadok
In this paper, a novel augmented Lagrangian preconditioner based on global Arnoldi for accelerating the convergence of Krylov subspace methods applied to linear systems of equation…
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…