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Coupled FE/BE Formulations for the Fluid–Structure Interaction

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Domain Decomposition Methods in Science and Engineering XIX

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 78))

Summary

We present several coupled finite and boundary element formulations for the vibro-acoustic simulation of completely immersed bodies such as submarines. All formulations are based on the different use of standard boundary integral equations. In addition to the well known symmetric coupling we discuss two different approaches which are based on the weakly singular boundary integral equation only.

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Bibliography

  1. D. Brunner. Fast Boundary Element Methods for Large–Scale Simulations of the Vibro–Acoustic Behavior of Ship–Like Structures. Doctoral Thesis, Universität Stuttgart, 2009.

    Google Scholar 

  2. D. Brunner, G. Of, M. Junge, O. Steinbach, and L. Gaul. A fast BE/FE coupling scheme for partly immersed bodies. Int. J. Numer. Methods Eng., 81: 28–47, 2010.

    MATH  MathSciNet  Google Scholar 

  3. F. Ihlenburg. Computational experience from the solution of coupled problems in ship design. In A.-M. Sändig, W. Schiehlen, and W.L. Wendland, editors, Multifield Problems. State of the Art, pp. 125–134, Springer, 2000.

    Google Scholar 

  4. O. Steinbach. Stability Estimates for Hybrid Coupled Domain Decomposition Methods, volume 1809. Springer, 2003.

    Google Scholar 

  5. O. Steinbach. Numerical Approximation Methods for Elliptic Boundary Value Problems. Finite and Boundary Elements. Springer, New York, NY, 2009.

    Google Scholar 

  6. O. Steinbach and W.L. Wendland. On C. Neumann’s method for second order elliptic systems in domains with non–smooth boundaries. J. Math. Anal. Appl., 262: 733–748, 2001.

    Article  MATH  MathSciNet  Google Scholar 

  7. M. Wilken, G. Of, C. Cabos, and O. Steinbach. Efficient calculation of the effect of water on ship vibration. In G. Guedes Soares and P.K. Das, editors, Analysis and Design of Marine Structures. Proceedings of MARSTRUCT 2009, pp. 93–101, CRC Press, 2009.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Institute of Computational Mathematics, TU Graz, A 8010, Graz, Austria

    Günther Of & Olaf Steinbach

Authors
  1. Günther Of
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  2. Olaf Steinbach
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Corresponding author

Correspondence to Günther Of .

Editor information

Editors and Affiliations

  1. , Department of Mathematics, Xiangtan University, Xiangtan, 411105, China, People's Republic

    Yunqing Huang

  2. FB Mathematik und Informatik, Freie Universität Berlin, Arnimallee 6, Berlin, 14195, Berlin, Germany

    Ralf Kornhuber

  3. Department of Mathematics, Courant Institute of Math. Sciences, New York University, Mercer St. 251, New York, 10012, New York, USA

    Olof Widlund

  4. Eberly College of Science, Dept. Mathematics, Pennsylvania State University, University Park, 16802, Pennsylvania, USA

    Jinchao Xu

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© 2011 Springer-Verlag Berlin Heidelberg

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Of, G., Steinbach, O. (2011). Coupled FE/BE Formulations for the Fluid–Structure Interaction. In: Huang, Y., Kornhuber, R., Widlund, O., Xu, J. (eds) Domain Decomposition Methods in Science and Engineering XIX. Lecture Notes in Computational Science and Engineering, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11304-8_33

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