Algebraic multigrid theory: The symmetric case
Applied Mathematics and Computation - Second Copper Mountain conference on Multigrid methods Copper Mountain, Colorado
A flexible inner-outer preconditioned GMRES algorithm
SIAM Journal on Scientific Computing
Fast iterative solution of stabilised Stokes systems part II: using general block preconditioners
SIAM Journal on Numerical Analysis
Templates for the solution of algebraic eigenvalue problems: a practical guide
Templates for the solution of algebraic eigenvalue problems: a practical guide
On the Solution of Equality Constrained Quadratic Programming Problems Arising in Optimization
SIAM Journal on Scientific Computing
Implicit-Factorization Preconditioning and Iterative Solvers for Regularized Saddle-Point Systems
SIAM Journal on Matrix Analysis and Applications
Inexact constraint preconditioners for linear systems arising in interior point methods
Computational Optimization and Applications
A Preconditioner for Linear Systems Arising From Interior Point Optimization Methods
SIAM Journal on Scientific Computing
SIAM Journal on Matrix Analysis and Applications
Multigrid Methods for PDE Optimization
SIAM Review
Spectral Analysis of Saddle Point Matrices with Indefinite Leading Blocks
SIAM Journal on Matrix Analysis and Applications
A preconditioning technique for a class of PDE-constrained optimization problems
Advances in Computational Mathematics
SIAM Journal on Matrix Analysis and Applications
Acquired Clustering Properties and Solution of Certain Saddle Point Systems
SIAM Journal on Matrix Analysis and Applications
Preconditioning Iterative Methods for the Optimal Control of the Stokes Equations
SIAM Journal on Scientific Computing
| Hi-index | 0.00 |
The solution of PDE-constrained optimal control problems is a computationally challenging task, and it involves the solution of structured algebraic linear systems whose blocks stem from the discretized first-order optimality conditions. In this paper we analyze the numerical solution of this large-scale system: we first perform a natural order reduction, and then we solve the reduced system iteratively by exploiting specifically designed preconditioning techniques. The analysis is accompanied by numerical experiments on two application problems.