A PRIORI ERROR ANALYSIS FOR LINEAR QUADRATIC ELLIPTIC NEUMANN BOUNDARY CONTROL PROBLEMS WITH CONTROL AND STATE CONSTRAINTS

作者：Krumbiegel K^*; Meyer C; Roesch A

来源：SIAM Journal on Control and Optimization, 2010, 48(8): 5108-5142.

DOI：10.1137/090746148

• optimal control
• state constraints
• boundary control
• regularization
• virtual control
• numerical approximation
• finite elements

In this paper we consider a state-constrained optimal control problem with boundary control, where the state constraints are imposed only in an interior subdomain. Our goal is to derive a priori error estimates for a finite element discretization with and without additional regularization. We will show that the separation of the set where the control acts and the set where the state constraints are given improves the approximation rates significantly. The theoretical results are illustrated by numerical computations.

• 出版日期2010