Titlebook: Control and Optimization with PDE Constraints; Kristian Bredies,Christian Clason,Gregory Winckel Book 2013 Springer Basel 2013 PDE-constra

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0373-3149 both mathematicians and practitionersMany mathematical models of physical, biological and social systems involve partial differential equations (PDEs). The desire to understand and influence these systems naturally leads to considering problems of control and optimization. This book presents import

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Theoretischer Rahmen und Forschungsstand,lves Dirac delta functions and needs a special treatment from a numerical point of view. We show by means of numerical results that also the order of discretizing and optimizing plays an important role.

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Theoretischer Rahmen und Forschungsstand,riginal problem is controlled by an a-posteriori error analysis. In this paper the authors focus on testing the a-posteriori estimate’s validity by means of numerical examples. An intensive study of the consequences of certain choices that can be made within the POD basis determination process is carried out and the findings are discussed.

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Vertragsmanagement im Unternehmen,cted from nodal trial functions, which leads to diagonalized matrix approximations of variable coefficient terms. First and second order optimality conditions are given for the control and a robust line search is described for computing a local minimizer.

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An Adaptive POD Approximation Method for the Control of Advection-Diffusion Equations,e coupling between an adaptive POD representation of the solution and a Dynamic Programming approximation scheme for the corresponding evolutive Hamilton–Jacobi equation. We discuss several features regarding the adaptivity of the method, the role of error estimate indicators to choose a time subdiv

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