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Estimation of Diffusion Coefficients in a Scalar Ginzburg-Landau Equation by Using Model Reduction

Estimation of Diffusion Coefficients in a Scalar Ginzburg-Landau Equation by Using Model Reduction

Publikationstyp: Beitrag zu einer Konferenz
Publikationsstatus: Published
Autor/innen: Kahlbacher, Martin; Volkwein, Stefan
Erscheinungsjahr: 2008
Konferenz: ENUMATH 2007 : the 7th European Conference on Numerical Mathematics and Advanced Applications, 10. Sep 2007 - 14. Sep 2007, Graz, Austria
Erschienen in: Numerical Mathematics and Advanced Applications : Proceedings of ENUMATH 2007 / Kunisch, Karl; Of, Günther; Steinbach, Olaf (Hrsg.). - Berlin : Springer, 2008. - S. 727-734. - ISBN 978-3-540-69776-3
DOI (zitierfähiger Link): https://dx.doi.org/10.1007/978-3-540-69777-0_87
Zusammenfassung:
Proper orthogonal decomposition (POD) is a powerful technique for model reduction of linear and non-linear systems. It is based on a Galerkin type discretization with basis elements created from the system itself. In this work POD is applied to estimate scalar parameters in a scalar non-linear Ginzburg-Landau equation. The parameter estimation is formulated in terms of an optimal control problem that is solved by an augmented Lagrangian method combined with a sequential quadratic programming algorithm. A numerical example illustrates the efficiency of the proposed solution method.
Fachgebiet (DDC): 510 Mathematik

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KAHLBACHER, Martin, Stefan VOLKWEIN, 2008. Estimation of Diffusion Coefficients in a Scalar Ginzburg-Landau Equation by Using Model Reduction. ENUMATH 2007 : the 7th European Conference on Numerical Mathematics and Advanced Applications. Graz, Austria, 10. Sep 2007 - 14. Sep 2007. In: KUNISCH, Karl, ed., Günther OF, ed., Olaf STEINBACH, ed.. Numerical Mathematics and Advanced Applications : Proceedings of ENUMATH 2007. ENUMATH 2007 : the 7th European Conference on Numerical Mathematics and Advanced Applications. Graz, Austria, 10. Sep 2007 - 14. Sep 2007. Berlin:Springer, pp. 727-734. ISBN 978-3-540-69776-3. Available under: doi: 10.1007/978-3-540-69777-0_87

@inproceedings{Kahlbacher2008Estim-41198, title={Estimation of Diffusion Coefficients in a Scalar Ginzburg-Landau Equation by Using Model Reduction}, year={2008}, doi={10.1007/978-3-540-69777-0_87}, isbn={978-3-540-69776-3}, address={Berlin}, publisher={Springer}, booktitle={Numerical Mathematics and Advanced Applications : Proceedings of ENUMATH 2007}, pages={727--734}, editor={Kunisch, Karl and Of, Günther and Steinbach, Olaf}, author={Kahlbacher, Martin and Volkwein, Stefan} }

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