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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★ 1 cited
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…