4 papers · 1 filter
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…
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…
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…
Automatic Differentiation for All-at-once Systems Arising in Certain PDE-Constrained Optimization Problems
Santolo Leveque, James R. Maddison, John W. Pearson
An automated framework is presented for the numerical solution of optimal control problems with PDEs as constraints, in both the stationary and instationary settings. The associate…