Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/288450 
Year of Publication: 
2020
Citation: 
[Journal:] Computational Optimization and Applications [ISSN:] 1573-2894 [Volume:] 77 [Issue:] 3 [Publisher:] Springer US [Place:] New York, NY [Year:] 2020 [Pages:] 831-869
Publisher: 
Springer US, New York, NY
Abstract: 
In this paper we apply an augmented Lagrange method to a class of semilinear elliptic optimal control problems with pointwise state constraints. We show strong convergence of subsequences of the primal variables to a local solution of the original problem as well as weak convergence of the adjoint states and weak-* convergence of the multipliers associated to the state constraint. Moreover, we show existence of stationary points in arbitrary small neighborhoods of local solutions of the original problem. Additionally, various numerical results are presented.
Subjects: 
Optimal control
Semilinear elliptic operators
State constraints
Augmented Lagrange method
JEL: 
M20
K10
C30
Persistent Identifier of the first edition: 
Creative Commons License: 
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Document Type: 
Article
Document Version: 
Published Version

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