Robin-Robin preconditioned Krylov methods for fluid-structure interaction problems

Santiago Badia, Fabio Nobile, Christian Vergara

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In this work, we propose a Robin-Robin preconditioner combined with Krylov iterations for the solution of the interface system arising in fluid-structure interaction (FSI) problems. It can be seen as a partitioned FSI procedure and in this respect it generalizes the ideas introduced in [S. Badia, F. Nobile, C. Vergara, J. Comput. Phys. 227 (2008) 7027-7051]. We analyze the convergence of GMRES iterations with the Robin-Robin preconditioner on a model problem and compare its efficiency with some existing algorithms. The method is shown to be very efficient for many challenging fluid-structure interaction problems, such as those characterized by a large added-mass effect or by enclosed fluids. In particular, the possibility to solve balloon-type problems without any special treatment makes this algorithm very appealing compared to the computationally intensive existing approaches.

Original languageEnglish
Pages (from-to)2768-2784
Number of pages17
JournalComputer Methods in Applied Mechanics and Engineering
Issue number33-36
Publication statusPublished - 1 Jul 2009
Externally publishedYes


  • Added-mass effect
  • Domain decomposition preconditioners
  • Enclosed fluid problems
  • Fluid-structure interaction
  • Hemodynamics
  • Partitioned procedures
  • Robin boundary conditions

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