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Localized model reduction in PDE constrained optimization

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Publication:1713594
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DOI10.1007/978-3-319-90469-6_8zbMath1407.49030OpenAlexW2890578718MaRDI QIDQ1713594

Mario Ohlberger, Felix Schindler, Michael Schaefer

Publication date: 25 January 2019

Full work available at URL: https://doi.org/10.1007/978-3-319-90469-6_8

zbMATH Keywords

optimal controlreduced basis methodsheterogeneous multiscale methodPDE constrained optimizationlocalized model reductionLRBMS


Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Large-scale systems (93A15) Periodic optimal control problems (49N20)


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Model reduction for large-scale systems, An Online Efficient Two-Scale Reduced Basis Approach for the Localized Orthogonal Decomposition, A relaxed localized trust-region reduced basis approach for optimization of multiscale problems, A non-conforming dual approach for adaptive Trust-Region reduced basis approximation of PDE-constrained parameter optimization



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