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Admittance Identification from Point-wise Sound Pressure Measurements Using Reduced-order Modelling

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  • S. Volkwein

    (University of Constance)

Abstract

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.

Suggested Citation

  • S. Volkwein, 2010. "Admittance Identification from Point-wise Sound Pressure Measurements Using Reduced-order Modelling," Journal of Optimization Theory and Applications, Springer, vol. 147(1), pages 169-193, October.
    • Handle: RePEc:spr:joptap:v:147:y:2010:i:1:d:10.1007_s10957-010-9704-3
    DOI: 10.1007/s10957-010-9704-3
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    References listed on IDEAS

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    1. F. Tröltzsch & S. Volkwein, 2009. "POD a-posteriori error estimates for linear-quadratic optimal control problems," Computational Optimization and Applications, Springer, vol. 44(1), pages 83-115, October.
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    Cited by:

    1. Timo Tonn & K. Urban & S. Volkwein, 2010. "Comparison of the reduced-basis and POD a posteriori error estimators for an elliptic linear-quadratic optimal control problem," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 17(4), pages 355-369, July.
    2. Oliver Lass & Stefan Volkwein, 2014. "Adaptive POD basis computation for parametrized nonlinear systems using optimal snapshot location," Computational Optimization and Applications, Springer, vol. 58(3), pages 645-677, July.

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