Adaptive finite element methods for parabolic problems. I.: a linear model problem
SIAM Journal on Numerical Analysis
SIAM Journal on Control and Optimization
Adaptive finite element methods for parabolic problems II: optimal error estimates in L∞L2 and L∞L∞
SIAM Journal on Numerical Analysis
SIAM Journal on Control and Optimization
Optimization by Vector Space Methods
Optimization by Vector Space Methods
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem
SIAM Journal on Numerical Analysis
SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization
Barrier Methods for Optimal Control Problems with State Constraints
SIAM Journal on Optimization
Optimal Control of a Parabolic Equation with Time-Dependent State Constraints
SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization
Error estimates for parabolic optimal control problems with control and state constraints
Computational Optimization and Applications
Hi-index | 0.00 |
In this paper, we consider an optimal control problem which is governed by a linear parabolic equation and is subject to state constraints pointwise in time. Optimal order error estimates are developed for a space-time finite element discretization of this problem. Numerical examples confirm the theoretical results. As a by-product of our analysis, we derive a new regularity result for the optimal control.