A Lagrange multiplier method for semilinear elliptic state constrained optimal control problems
| Autor: | Daniel Wachsmuth, Veronika Karl, Ira Neitzel |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Class (set theory)
Control and Optimization msc:90C30 msc:49M20 0211 other engineering and technologies 010103 numerical & computational mathematics 02 engineering and technology 01 natural sciences symbols.namesake msc:65K10 Convergence (routing) FOS: Mathematics Applied mathematics 0101 mathematics ddc:510 Mathematics - Optimization and Control Mathematics Pointwise 021103 operations research Weak convergence Applied Mathematics State (functional analysis) Optimal control Stationary point Computational Mathematics Optimization and Control (math.OC) Lagrange multiplier symbols |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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