3 papers
math.NA2026
Augmented Lagrangian preconditioners for fictitious domain formulations of elliptic interface problems
Michele Benzi, Marco Feder, Luca Heltai +1
We present a novel augmented Lagrangian (AL) preconditioner for the solution of linear systems arising from finite element discretizations of elliptic interface problems with jump…
math.NA2026
Scalable augmented Lagrangian preconditioners for fictitious domain problems
Michele Benzi, Marco Feder, Luca Heltai +1
We present preconditioning techniques to solve linear systems of equations with a block two-by-two and three-by-three structure arising from finite element discretizations of the f…
math.NA2025
An augmented Lagrangian preconditioner for the control of the Navier--Stokes equations
Santolo Leveque, Michele Benzi, Patrick E. Farrell
We address the solution of the distributed control problem for the steady, incompressible Navier--Stokes equations. We propose an inexact Newton linearization of the optimality con…