Titlebook: Non-Smooth and Complementarity-Based Distributed Parameter Systems; Simulation and Hiera Michael Hintermüller,Roland Herzog,Stefan Ulbrich

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ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation, we present a combination of the reduced basis model reduction method with a continuation approach using inexact gradients. The resulting approach can handle an arbitrary number of objectives while yielding a significant reduction in computing time.

PACK

Decomposition and Approximation for PDE-Constrained Mixed-Integer Optimal Control,multidimensional ones under a mild condition on the rounding mesh refinement. If the solution operator of the state equation exhibits sufficient regularity, i.e., compactness properties, the state vector corresponding to the rounded binary control converges in norm to the state vector of the relaxed

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Book 2022 leading researchers and present results obtained in the first funding phase of the DFG Special Priority Program on Nonsmooth and Complementarity Based Distributed Parameter Systems: Simulation and Hierarchical Optimization that ran from 2016 to 2019..

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Non-Smooth and Complementarity-Based Distributed Parameter SystemsSimulation and Hiera

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Strong Stationarity for Optimal Control of Variational Inequalities of the Second Kind,he so-called strong stationarity conditions are derived in an abstract framework. Strong stationarity conditions are regarded as the most rigorous ones, since they imply all other types of stationarity concepts and are equivalent to purely primal optimality conditions. The abstract framework is afterward applied to four application-driven examples.

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0373-3149 ecial Priority Program on Nonsmooth and Complementarity Based Distributed Parameter Systems: Simulation and Hierarchical Optimization that ran from 2016 to 2019..978-3-030-79395-1978-3-030-79393-7Series ISSN 0373-3149 Series E-ISSN 2296-6072

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