3 papers
math.NA2026
A Generalized Alternating Anderson Acceleration Method
Yunhui He, Santolo Leveque
In this work, we propose a generalized alternating Anderson acceleration method, a periodic scheme composed of fixed-point iteration steps, interleaved with steps of Anders…
math.NA2025
An Augmented Lagrangian Preconditioner for Navier--Stokes Equations with Runge--Kutta in Time
Santolo Leveque, Yunhui He, Maxim Olshanskii
We consider a Runge--Kutta method for the numerical time integration of the nonstationary incompressible Navier--Stokes equations. This yields a sequence of nonlinear problems to b…
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…