Optimal Solvers for PDE-Constrained Optimization
SIAM Journal on Scientific Computing
Efficient Preconditioners for Optimality Systems Arising in Connection with Inverse Problems
SIAM Journal on Control and Optimization
An Interior-Point Algorithm for Large-Scale Nonlinear Optimization with Inexact Step Computations
SIAM Journal on Scientific Computing
A Robust Multigrid Method for Elliptic Optimal Control Problems
SIAM Journal on Numerical Analysis
Preconditioning Iterative Methods for the Optimal Control of the Stokes Equations
SIAM Journal on Scientific Computing
Multigrid second-order accurate solution of parabolic control-constrained problems
Computational Optimization and Applications
Directional Sparsity in Optimal Control of Partial Differential Equations
SIAM Journal on Control and Optimization
SIAM Journal on Numerical Analysis
Computational Optimization and Applications
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Research on multigrid methods for optimization problems is reviewed. Optimization problems considered include shape design, parameter optimization, and optimal control problems governed by partial differential equations of elliptic, parabolic, and hyperbolic type.