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A Domain Decomposition Method Based on Augmented Lagrangian with an Optimized Penalty Parameter

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Domain Decomposition Methods in Science and Engineering XXII

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 104))

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Abstract

A non-overlapping domain decomposition method based on augmented Lagrangian with a penalty term was introduced in the previous works by the authors [6, 7], which is a variant of the FETI-DP method. In this paper we present a further study focusing on the case of small penalty parameters in terms of condition number estimate and practical efficiency. The full analysis of the proposed method can be found in [8].

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Acknowledgement

The work of the first author was supported by NRF-2011-0015399. The second author was supported in part by Korea Research Council of Fundamental Science and Technology (KRCF) research fellowship for young scientists.

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Correspondence to Eun-Hee Park .

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Lee, CO., Park, EH. (2016). A Domain Decomposition Method Based on Augmented Lagrangian with an Optimized Penalty Parameter. In: Dickopf, T., Gander, M., Halpern, L., Krause, R., Pavarino, L. (eds) Domain Decomposition Methods in Science and Engineering XXII. Lecture Notes in Computational Science and Engineering, vol 104. Springer, Cham. https://doi.org/10.1007/978-3-319-18827-0_58

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