Multigrid optimization in applications
Journal of Computational and Applied Mathematics - Special issue on SQP-based direct discretization methods for practical optimal control problems
Multigrid
The Numerical Solution of the Steady State Solid Fuel Ignition Model and Its Optimal Control
SIAM Journal on Scientific Computing
SIAM Journal on Control and Optimization
Error Estimates for the Numerical Approximation of a Semilinear Elliptic Control Problem
Computational Optimization and Applications
Multigrid methods for parabolic distributed optimal control problems
Journal of Computational and Applied Mathematics
Superconvergence Properties of Optimal Control Problems
SIAM Journal on Control and Optimization
Journal of Computational and Applied Mathematics
A Line Search Multigrid Method for Large-Scale Nonlinear Optimization
SIAM Journal on Optimization
A multigrid method for constrained optimal control problems
Journal of Computational and Applied Mathematics
A smooth penalty approach and a nonlinear multigrid algorithm for elliptic MPECs
Computational Optimization and Applications
Efficient Preconditioners for Optimality Systems Arising in Connection with Inverse Problems
SIAM Journal on Control and Optimization
Adaptive Multilevel Inexact SQP Methods for PDE-Constrained Optimization
SIAM Journal on Optimization
Multigrid second-order accurate solution of parabolic control-constrained problems
Computational Optimization and Applications
SIAM Journal on Numerical Analysis
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A multigrid scheme for the solution of constrained optimal control problems discretized by finite differences is presented. This scheme is based on a new relaxation procedure that satisfies the given constraints pointwise on the computational grid. In applications, the cases of distributed and boundary control problems with box constraints are considered. The efficient and robust computational performance of the present multigrid scheme allows to investigate bang-bang control problems.