Reduced Basis Methods for Model Reduction and Sensitivity Analysis of Complex Partial Differential Equations with Applications to Lithium-Ion Batteries
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Media type:
Text;
Electronic Thesis;
Doctoral Thesis;
E-Book
Title:
Reduced Basis Methods for Model Reduction and Sensitivity Analysis of Complex Partial Differential Equations with Applications to Lithium-Ion Batteries
Contributor:
Wesche, Johanna Andrea Karolin
[Author]
imprint:
KOPS - The Institutional Repository of the University of Konstanz, 2016
Footnote:
Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
Description:
In the present thesis we apply the reduced basis method (RBM) on a coupled elliptic-parabolic equation system, which is highly nonlinear. This equation system describes the charge and mass transport in a lithium-ion battery. For an efficient application of the RBM we develop an a posteriori error estimator which estimates the error between our finite volume and our reduced solution. To evaluate the nonlinearities in an efficient way we additionally apply the empirical interpolation method. The suitable reduced order model we use for the parameter estimation to a required terminal voltage. The results we confirm with a sensitivity analysis. ; published