Parameter identification for nonlinear elliptic-parabolic systems with application in lithium-ion battery modeling

Lass, Oliver; Volkwein, Stefan

Parameter identification for nonlinear elliptic-parabolic systems with application in lithium-ion battery modeling

Dateien

Volkwein_250578.pdfGröße: 523.4 KBDownloads: 520

Datum

2013

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Preprint

Publikationsstatus

Published

Zusammenfassung

In this paper the authors consider a parameter estimation problem for a nonlinear systems, which consists of one parabolic equation for the concentration and two elliptic equations for the potentials. The measurements are given as boundary values for one of the potentials. For its numerical solution the Gauss Newton method is applied. To speed up the solution process, a reduced-order approach based on proper orthogonal decomposition (POD) is utilized, where the accuracy is controlled by error estimators. Parameters, which can not be identified from the measurements, are identified by the subset selection method with QR pivoting. Numerical examples show the efficiency of the proposed approach.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

LASS, Oliver, Stefan VOLKWEIN, 2013. Parameter identification for nonlinear elliptic-parabolic systems with application in lithium-ion battery modeling

BibTex

@unpublished{Lass2013Param-25057,
  year={2013},
  title={Parameter identification for nonlinear elliptic-parabolic systems with application in lithium-ion battery modeling},
  author={Lass, Oliver and Volkwein, Stefan}
}

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