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Admittance identification from point-wise sound pressure measurements using reduced-order modelling

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2010

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http://nbn-resolving.de/urn:nbn:de:bsz:352-127635
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https://doi.org/10.1007/s10957-010-9704-3
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Journal of Optimization Theory and Applications. 2010, 147(1), pp. 169-193. ISSN 0022-3239. Available under: doi: 10.1007/s10957-010-9704-3

Zusammenfassung

In this work an acoustic application is studied. The goal is to estimate the complex-valued admittance from given point measurements of the sound pressure. This parameter identification problem is formulated in terms of an infinite-dimensional optimization problem. First- and second-order optimality conditions are discussed. For the numerical realization a reduced-order model based on proper orthogonal decomposition is used. Numerical examples illustrate the efficiency of the proposed approach.

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Fachgebiet (DDC)
510 Mathematik

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Helmholtz equation, Optimal control, Optimality conditions, Proper orthogonal decomposition

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ISO 690VOLKWEIN, Stefan, 2010. Admittance identification from point-wise sound pressure measurements using reduced-order modelling. In: Journal of Optimization Theory and Applications. 2010, 147(1), pp. 169-193. ISSN 0022-3239. Available under: doi: 10.1007/s10957-010-9704-3
BibTex
@article{Volkwein2010Admit-12763,
  year={2010},
  doi={10.1007/s10957-010-9704-3},
  title={Admittance identification from point-wise sound pressure measurements using reduced-order modelling},
  number={1},
  volume={147},
  issn={0022-3239},
  journal={Journal of Optimization Theory and Applications},
  pages={169--193},
  author={Volkwein, Stefan}
}
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