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Distributed Lagrange Multiplier for Fluid-Structure Interactions

  • Daniele Boffi
  • Frédéric Hecht
  • Olivier Pironneau
Chapter
Part of the SEMA SIMAI Springer Series book series (SEMA SIMAI, volume 15)

Abstract

In this paper we make preliminary numerical tests to assess the performance of the scheme introduced in Boffi et al. (SIAM J Numer Anal 53(6):2584–2604, 2015) and analyzed in Boffi and Gastaldi (Numer Math 135(3):711–732, 2017) for the approximation of fluid-structure interaction problems. We show how to implement the scheme within the FreeFem++ framework (Hecht, J Numer Math 20(3–4):251–265, 2012) and validate our code with respect to some known problems and benchmarks. The main conclusion is that a simple implementation can provide quite accurate results for non trivial applications.

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Daniele Boffi
    • 1
  • Frédéric Hecht
    • 2
  • Olivier Pironneau
    • 2
  1. 1.Dipartimento di Matematica “F. Casorati”University of PaviaPaviaItaly
  2. 2.Sorbonne UniversitésUPMC (Paris VI), Laboratoire Jacques-Louis LionsParisFrance

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