Type of Publication: | Working Paper/Technical Report |
Publication status: | Published |
URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-0-310049 |
Author: | Lass, Oliver; Trenz, Stefan; Volkwein, Stefan |
Year of publication: | 2015 |
Series: | Konstanzer Schriften in Mathematik ; 345 |
Summary: |
In the present paper the authors consider an optimal control problem for a parametrized nonlinear parabolic differential equation, which is motivated by lithium-ion battery models. A standard finite element (FE) discretization leads to a large-scale nonlinear optimization problem so that its numerical solution is very costly. Therefore, a reduced-order modelling based on proper orthogonal decomposition (POD) is applied, so that the number of degrees of freedom is reduced significantly and a fast numerical simulation of the model is possible. To control the error, an a-posteriori error estimator is realized. Numerical experiments show the efficiency of the approach.
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MSC Classification: | 49K20; 65K10; 65K30 |
Subject (DDC): | 510 Mathematics |
Keywords: | Optimal control, semilinear parabolic differential equations, a-posteriori analysis, proper orthogonal decomposition, projected Newton method |
Link to License: | In Copyright |
Bibliography of Konstanz: | Yes |
LASS, Oliver, Stefan TRENZ, Stefan VOLKWEIN, 2015. Optimality conditions and POD a-posteriori error estimates for a semilinear parabolic optimal control
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