Results 1 to 10 of about 111,028 (264)
On boundary stimulation and optimal boundary control of the bidomain equations. [PDF]
Math Biosci, 2013 The bidomain equations with Neumann boundary stimulation and optimal control of these stimuli are investigated. First an analytical framework for boundary control is provided. Then a parallel finite element based algorithm is devised and its efficiency is demonstrated not only for the direct problem but also for the optimal control problem.
Chamakuri N, Kunisch K, Plank G.
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Optimal boundary control in a micromixer
Examples and CounterexamplesThis work studies mathematical foundations for optimal boundary control of mixers which mix two fluid phases. Existence of optima is proved and the influence of common objective functionals is discussed.
Manuel Wegmann +3 more
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Homogenization of boundary optimal control problem
Electronic Journal of Differential Equations, 2022 In this article, we study the asymptotic behavior of solutions to some optimal control problems, governed by an elliptic boundary value problem with Robin boundary conditions in a periodically perforated domain. The coefficients of the differential operator in the state equation and in the cost-functional are rapidly oscillating.
Indira Mishra
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An optimal control problem for the systems with integral boundary conditions [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In this paper, we consider an optimal control problem with a «pure», integral boundary condition. The Green’s function is constructed. Using contracting Banach mappings, a sufficient condition for the existence and uniqueness of a solution to ...
M.J. Mardanov, Y.A. Sharifov
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Mathematics, 2022 We consider an optimal boundary control problem for a one-dimensional wave equation consisting of two non-homogenous segments with piecewise constant characteristics. The wave equation describes the longitudinal vibrations of a non-homogeneous rod or the
Vanya Barseghyan, Svetlana Solodusha
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Journal of Biomechanical Science and Engineering, 2022 Phase-contrast magnetic resonance imaging (PC-MRI) allows us to acquire biofluid flow velocity maps, whereas MRI data is restricted by spatiotemporal resolution limitations and contains theoretically inevitable errors.
Tomohiro OTANI +6 more
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Optimal Dirichlet Boundary Control for the Corotational Oldroyd Model
Mathematics, 2023 In this article, we investigate an optimal control problem for the coupled system of partial differential equations describing the steady-state flow of a corotational-type Oldroyd fluid through a bounded 3D (or 2D) domain.
Evgenii S. Baranovskii +1 more
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Bilinear boundary optimal control of a Kirchhoff plate equation
Results in Control and Optimization, 2022 This work shows that a problem of boundary optimal control of a Kirchhoff plate equation has a solution that we characterized using the differentiability of a functional cost.
Abdelhak Bouhamed +2 more
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On the Existence of Optimal Controls for SPDEs with Boundary Noise and Boundary Control [PDF]
SIAM Journal on Control and Optimization, 2013 We consider a stochastic optimal control problem for an heat equation with boundary noise and boundary controls. Under suitable assumptions on the coefficients, we prove existence of optimal controls in strong sense by solving the stochastic hamiltonian system related.
GUATTERI, GIUSEPPINA, Federica Masiero
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Al-Mustansiriyah Journal of Science, 2023 In this paper, our purpose is to study the classical continuous constraints boundary optimal triple control vector problem dominating nonlinear triple parabolic boundary value problem.
Yasameen H. Rashid +2 more
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