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A NEW FINITE ELEMENT APPROXIMATION OF A STATE-CONSTRAINED OPTIMAL CONTROL PROBLEM |
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| Authors: | Wenbin Liu KBS Institute of Mathematics Statistics The University of Kent Canterbury CT NF Engl Wei Gong Ningning Yan LSEC |
| Institution: | Wenbin Liu KBS Institute of Mathematics , Statistics,The University of Kent Canterbury,CT2 7NF,Engl, Wei Gong Ningning Yan LSEC,Institute of Systems Science,Academy of Mathematics , Systems Science,Chinese Academy of Sciences,Beijing 100190,China |
| Abstract: | In this paper,we study numerical methods for an optimal control problem with point- wise state constraints.The traditional approaches often need to deal with the deltasingularity in the dual equation,which causes many difficulties in its theoretical analysis and numerical approximation.In our new approach we reformulate the state-constrained optimal control as a constrained minimization problems only involving the state,whose optimality condition is characterized by a fourth order elliptic variational inequ... |
| Keywords: | Optimal control problem State-constraints Fourth order variational inequalities Nonconforming finite element method |
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