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An overlapping waveform-relaxation preconditioner for economic optimal control problems with state constraints

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2023

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https://doi.org/10.1007/978-3-030-95025-5_49
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http://arxiv.org/abs/2103.14849

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BRENNER, Susanne, Hrsg., Eric CHUNG, Hrsg., Axel KLAWONN, Hrsg. und andere. Domain Decomposition Methods in Science and Engineering XXVI. Cham: Springer, 2023, S. 461-469. Lecture Notes in Computational Science and Engineering. 145. VerfĂŒgbar unter: doi: 10.1007/978-3-030-95025-5_49

Zusammenfassung

As shown in [8], the semismooth Newton method lacks of convergence if the parameter 𝜀 is not sufficiently large. This is, however, in contrast with typical applications, where a sufficiently small 𝜀 is required [6, 8]. The goal of this paper is to tackle this problem by using a nonlinear preconditioning technique based on an overlapping optimized waveform-relaxation method (WRM) characterized by Robin transmission conditions [2, 3].

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510 Mathematik

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Domain Decomposition Methods in Science and Engineering XXVI, 7. Dez. 2020 - 12. Dez. 2020, Hong Kong
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ISO 690CIARAMELLA, Gabriele, Luca MECHELLI, 2023. An overlapping waveform-relaxation preconditioner for economic optimal control problems with state constraints. Domain Decomposition Methods in Science and Engineering XXVI. Hong Kong, 7. Dez. 2020 - 12. Dez. 2020. In: BRENNER, Susanne, Hrsg., Eric CHUNG, Hrsg., Axel KLAWONN, Hrsg. und andere. Domain Decomposition Methods in Science and Engineering XXVI. Cham: Springer, 2023, S. 461-469. Lecture Notes in Computational Science and Engineering. 145. VerfĂŒgbar unter: doi: 10.1007/978-3-030-95025-5_49
BibTex
@inproceedings{Ciaramella2023overl-55636,
  title={An overlapping waveform-relaxation preconditioner for economic optimal control problems with state constraints},
  year={2023},
  doi={10.1007/978-3-030-95025-5_49},
  number={145},
  address={Cham},
  publisher={Springer},
  series={Lecture Notes in Computational Science and Engineering},
  booktitle={Domain Decomposition Methods in Science and Engineering XXVI},
  pages={461--469},
  editor={Brenner, Susanne and Chung, Eric and Klawonn, Axel},
  author={Ciaramella, Gabriele and Mechelli, Luca}
}
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