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Titlebook: Shape Optimization, Homogenization and Optimal Control; DFG-AIMS workshop he Volker Schulz,Diaraf Seck Book 2018 Springer International Pub

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Corrector Problem and Homogenization of Nonlinear Elliptic Monotone PDE,tion scheme for the homogenized coefficient. The obtained results represent an important step towards the numerical implementation of the results from the deterministic homogenization theory beyond the periodic setting.
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Two-Scale Convergence: Obviousness of the Choice of Test Functions? Not Always,In the present example, that is, the homogenization of the weakly damped wave equation (1.1) with initial conditions (1.2), it is shown that the choice of test functions will be more complicated than for the classical homogenization problems.
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Instantaneous Optimal Control of Friction Dominated Flow in a Gas-Network,derived from a semi-linear approximation of the fully nonlinear isothermal Euler gas equations. We formulate an optimal control problem on a given network and introduce a time discretization thereof. We then study the well-posedness of the corresponding time-discrete optimal control problem. In orde
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Some Recent Developments in Optimal Control of Multiphase Flows,al challenges and illustrate adequate solution strategies. This includes, among other things, the existence proof of solutions to a coupled Cahn–Hilliard–Navier–Stokes system, the derivation of first order optimality conditions for the associated optimal control problem in the presence of a nonsmoot
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