Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE
| Type of Publication: | Contribution to a collection |
| Publication status: | Accepted |
| URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-2-14ynfk4rb5c8r3 |
| Author: | Bernreuther, Marco; Müller, Georg; Volkwein, Stefan |
| Year of publication: | 2021 |
| To Appear in: | Radon Series on Computational and Applied Mathematics. - Berlin : De Gruyter, 2021 |
| Summary: |
In this paper, an optimization problem governed by a nonsmooth semilinear elliptic partial differential equation is considered. A reduced order approach is applied in order to obtain a computationally fast and certified numerical solution approach. Using the reduced basis method and efficient a-posteriori error estimation for the primal and dual equations, an adaptive algorithm is developed and tested successfully for several numerical examples.
|
| Subject (DDC): | 510 Mathematics |
| Link to License: | In Copyright |
| Bibliography of Konstanz: | Yes |
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BERNREUTHER, Marco, Georg MÜLLER, Stefan VOLKWEIN, 2021. Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE. In: Radon Series on Computational and Applied Mathematics. Berlin:De Gruyter
@incollection{Bernreuther2021Reduc-49208.3, title={Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE}, year={2021}, address={Berlin}, publisher={De Gruyter}, booktitle={Radon Series on Computational and Applied Mathematics}, author={Bernreuther, Marco and Müller, Georg and Volkwein, Stefan} }
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