11 citations · 11 across the 2 of their papers we have counts for
4 papers · 1 filter
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…
Parameter-Robust Preconditioning for Oseen Iteration Applied to Stationary and Instationary Navier--Stokes Control
Santolo Leveque, John W. Pearson
We derive novel, fast, and parameter-robust preconditioned iterative methods for steady and time-dependent Navier--Stokes control problems. Our approach may be applied to time-depe…
Fast Iterative Solver for the Optimal Control of Time-Dependent PDEs with Crank-Nicolson Discretization in Time
Santolo Leveque, John W. Pearson
In this article, we derive a new, fast, and robust preconditioned iterative solution strategy for the all-at-once solution of optimal control problems with time-dependent PDEs as c…
A New Preconditioning Approach for an Interior Point-Proximal Method of Multipliers for Linear and Convex Quadratic Programming
Luca Bergamaschi, Jacek Gondzio, Ángeles Martínez +2
In this paper, we address the efficient numerical solution of linear and quadratic programming problems, often of large scale. With this aim, we devise an infeasible interior point…