4 citations · 4 across the 6 of their papers we have counts for
8 papers
A Note on Multigrid Preconditioning for Fractional PDE-Constrained Optimization Problems
Harbir Antil, Andrei Dr{ă}g{ă}nescu, Kiefer Green
In this note we present a multigrid preconditioning method for solving quadratic optimization problems constrained by a fractional diffusion equation. Multigrid methods within the…
Algebraic multigrid preconditioning of the Hessian in PDE-constrained optimization
Andrew T. Barker, Andrei Draganescu
We construct an algebraic multigrid (AMG) based preconditioner for the reduced Hessian of a linear-quadratic optimization problem constrained by an elliptic partial differential eq…
Multigrid preconditioners for the Newton-Krylov method in the optimal control of the stationary Navier-Stokes equations
Ana Maria Soane, Andrei Draganescu
The focus of this work is on the construction and analysis of optimal-order multigrid preconditioners to be used in the Newton-Krylov method for a distributed optimal control probl…
Optimal-order preconditioners for linear systems arising in the semismooth Newton solution of a class of control-constrained problems
Andrei Draganescu, Jyoti Saraswat
In this article we present a new multigrid preconditioner for the linear systems arising in the semismooth Newton method solution of certain control-constrained, quadratic distribu…
Multigrid solution of a distributed optimal control problem constrained by the Stokes equations
Andrei Draganescu, Ana Maria Soane
In this work we construct multigrid preconditioners to accelerate the solution process of a linear-quadratic optimal control problem constrained by the Stokes system. The first ord…
Sharp estimates for the convergence rate of Orthomin(k) for a class of linear systems
Andrei Draganescu, Florin Spinu
In this work we show that the convergence rate of Orthomin() applied to systems of the form , where is a unitary operator and , is less than or equal to…