Adaptive sequencing of primal, dual, and design steps in simulation based optimization (Q404526)

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scientific article; zbMATH DE number 6339732
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Adaptive sequencing of primal, dual, and design steps in simulation based optimization
scientific article; zbMATH DE number 6339732

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    Adaptive sequencing of primal, dual, and design steps in simulation based optimization (English)
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    4 September 2014
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    The authors develop a Multistep Oneshot method for simulation driven design optimization. Here, the PDE constraint can be written by using a fixed point iteration. A crucial role plays a preconditioning in the design step using a BFGS approximation of the projected Hessian. Finally, some numerical examples illustrate the theoretical results.
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    optimization
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    PDE constraint
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    algorithmic differentiation
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    multistep oneshot
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    preconditioning matrices
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    convergence rates
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    second order sufficiency conditions
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    bounded retardation factor
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    eigenvalue analysis
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