A priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Time-Optimal Control Problems
arXiv:1802.006110.0033 citations
AI Analysis15
Provides rigorous error bounds for numerical solutions of time-optimal control problems governed by parabolic PDEs, which is of interest to researchers in optimal control and numerical analysis.
The paper derives optimal a priori error estimates for space-time finite element discretizations of parabolic time-optimal control problems with pointwise control constraints, based on a second-order sufficient optimality condition.
Space-time finite element discretizations of time-optimal control problems governed by linear parabolic PDEs and subject to pointwise control constraints are considered. Optimal a priori error estimates are obtained for the control variable based on a second order sufficient optimality condition.