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Titlebook: Optimal Control Problems for Partial Differential Equations on Reticulated Domains; Approximation and As Peter I. Kogut,Günter R. Leugering

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Suboptimal Boundary Control of Elliptic Equations in Domains with Small Holesdically perforated domains with small holes. We suppose that the support of controls is contained in the set of boundaries of the holes. This set is divided into two parts: On one part, the controls are of Dirichlet type; on the other one, the controls are of Neumann type. Using the ideas of the Γ-c
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Asymptotic Analysis of Elliptic Optimal Control Problems in Thick Multistructures with Dirichlet andundary .Ω. contains a very highly oscillating part with respect to ., as .→0. We consider this problem assuming that there are two types of the controls active via Neumann and Dirichlet boundary conditions posed on the different parts of the oscillating boundary (for a comparison, see Corbo Esposito
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Boundary Velocity Suboptimal Control of Incompressible Flow in Cylindrically Perforated Domainsd numerical analysis of OCPs of different types (e.g., having Dirichlet, Neumann, and distributed controls) for the steady-state Navier–Stokes system was given by Abergel and Temam (.), Fursikov, Gunzburger, and Hou (., .), Hou and Ravindran (.), Gunzburger, Hou, and Svobodny (.), Ivanenko and Mel’n
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