Approximation of Boundary Control Problems on Curved Domains
نویسندگان
چکیده
منابع مشابه
Approximation of Boundary Control Problems on Curved Domains. Ii - the Dirichlet Case
Abstract. The influence of small boundary variations of the domain on optimal controls is investigated in this paper. The domain variations are governed by a small parameter h → 0. In a previous paper we have studied the Neuman control problem. In this paper, the Dirichlet control problem is considered. The optimal solutions are compared between the problems defined in the curved domain Ω and t...
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In this talk we consider the following optimal control problem (P) minJ(u) = ∫ Ω L(x, yu(x)) dx+ N 2 ∫ Γ u(x) dσ(x) subject to (yu, u) ∈ (L∞(Ω) ∩H(Ω))× L(Γ), α ≤ u(x) ≤ β for a.e. x ∈ Γ, where Γ is a smooth manifold, yu is the state associated to the control u, given by a solution of the Dirichlet problem { −∆y + a(x, y) = 0 in Ω, y = u on Γ. (1) To solve the problem (P) numerically, it...
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ژورنال
عنوان ژورنال: SIAM Journal on Control and Optimization
سال: 2010
ISSN: 0363-0129,1095-7138
DOI: 10.1137/090761550