scholarly journals Sufficient Second‐Order Optimality Conditions for an Elliptic Optimal Control Problem with Pointwise Control‐State Constraints

2006 ◽  
Vol 17 (3) ◽  
pp. 776-794 ◽  
Author(s):  
A. Rösch ◽  
F. Tröltzsch
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Optimality Conditions ◽  
State Constraints ◽  
Second Order ◽  
Second Order Optimality Conditions ◽  
Elliptic Optimal Control Problem ◽  
Elliptic Optimal Control ◽  
Control State

scholarly journals P 1 finite element methods for an elliptic optimal control problem with pointwise state constraints

2018 ◽  
Vol 40 (1) ◽  
pp. 1-28 ◽  
Author(s):  
Susanne C Brenner ◽  
Li-yeng Sung ◽  
Joscha Gedicke
Keyword(s):  
Optimal Control ◽  
Finite Element ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Finite Element Methods ◽  
State Constraints ◽  
Distributed Optimal Control ◽  
Pointwise State Constraints ◽  
Elliptic Optimal Control Problem ◽  
Elliptic Optimal Control

Abstract We present theoretical and numerical results for two $P_1$ finite element methods for an elliptic distributed optimal control problem on general polygonal/polyhedral domains with pointwise state constraints.

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