A priori error estimates for space–time finite element discretization of semilinear parabolic optimal control problems

• Published in: Numerische Mathematik Vol. 120; no. 2; pp. 345 - 386
• Main Authors: Neitzel, Ira, Vexler, Boris
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01.02.2012
• Subjects: Mathematical and Computational Engineering; Mathematical and Computational Physics; Mathematical Methods in Physics; Mathematics; Mathematics and Statistics; Numerical Analysis; Numerical and Computational Physics; Simulation; Theoretical; 65M15; 49M25; 65M60

In this paper, a priori error estimates for space–time finite element discretizations of optimal control problems governed by semilinear parabolic PDEs and subject to pointwise control constraints are derived. We extend the approach from Meidner and Vexler (SIAM Control Optim 47(3):1150–1177, 2008 ;...