Type of Publication: | Journal article |
Publication status: | Published |
Author: | Lass, Oliver; Volkwein, Stefan |
Year of publication: | 2014 |
Published in: | Computational Optimization and Applications ; 58 (2014), 3. - pp. 645-677. - ISSN 0926-6003. - eISSN 1573-2894 |
DOI (citable link): | https://dx.doi.org/10.1007/s10589-014-9646-z |
Summary: |
The construction of reduced-order models for parametrized partial differential systems using proper orthogonal decomposition (POD) is based on the information of the so-called snapshots. These provide the spatial distribution of the nonlinear system at discrete parameter and/or time instances. In this work a strategy is used, where the POD reduced-order model is improved by choosing additional snapshot locations in an optimal way; see Kunisch and Volkwein (ESAIM: M2AN, 44:509–529, 2010). These optimal snapshot locations influences the POD basis functions and therefore the POD reduced-order model. This strategy is used to build up a POD basis on a parameter set in an adaptive way. The approach is illustrated by the construction of the POD reduced-order model for the complex-valued Helmholtz equation.
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Subject (DDC): | 510 Mathematics |
Bibliography of Konstanz: | Yes |
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LASS, Oliver, Stefan VOLKWEIN, 2014. Adaptive POD basis computation for parametrized nonlinear systems using optimal snapshot location. In: Computational Optimization and Applications. 58(3), pp. 645-677. ISSN 0926-6003. eISSN 1573-2894. Available under: doi: 10.1007/s10589-014-9646-z
@article{Lass2014Adapt-32340, title={Adaptive POD basis computation for parametrized nonlinear systems using optimal snapshot location}, year={2014}, doi={10.1007/s10589-014-9646-z}, number={3}, volume={58}, issn={0926-6003}, journal={Computational Optimization and Applications}, pages={645--677}, author={Lass, Oliver and Volkwein, Stefan} }
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