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Optimized Schwarz Method for the Fluid-Structure Interaction with Cylindrical Interfaces

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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))

Abstract

The Optimized Schwarz Method (OSM) is a domain decomposition method based on the introduction of generalized Robin interface conditions obtained by linearly combining the two physical interface conditions through the introduction of suitable symbols, and then on the optimization of such symbols within a proper subset, see [10, 13]. This method has been considered so far for many problems in the case of flat interfaces, see, e.g., [3, 5–7, 11, 16, 17]. Recently, OSM has been considered and analyzed for the case of cylindrical interfaces in [8, 9], and for the case of circular interfaces in [2]. In particular, in [8] we developed a general convergence analysis of the Schwarz method for elliptic problems and an optimization procedure within the constants, with application to the fluid-structure interaction (FSI) problem.

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Authors and Affiliations

  1. Dipartimento di Ingegneria Gestionale, dell’Informazione e della Produzione, Università di Bergamo, Viale Marconi 5, 24044, Dalmine (BG), Italy

    Giacomo Gigante

  2. MOX, Dipartimento di Matematica, Politecnico di Milano, Piazza L. da Vinci 32, 20133, Milan, Italy

    Christian Vergara

Authors
  1. Giacomo Gigante
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  2. Christian Vergara
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Correspondence to Christian Vergara .

Editor information

Editors and Affiliations

  1. Fakultät für Mathematik, Technische Universität München, Garching, Germany

    Thomas Dickopf

  2. Section de Mathématiques, Université de Genève, Genève, Switzerland

    Martin J. Gander

  3. Laboratoire Analyse, Geométrie & Applications, Université Paris XIII, Villetaneuse, France

    Laurence Halpern

  4. Institute of Computational Science, University of Lugano, Lugano, Switzerland

    Rolf Krause

  5. Dipartimento di Matematica, Università degli Studi di Milano, Milano, Italy

    Luca F. Pavarino

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Gigante, G., Vergara, C. (2016). Optimized Schwarz Method for the Fluid-Structure Interaction with Cylindrical Interfaces. 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_53

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