Well-posedness and robust preconditioners for discretized fluid-structure interaction systems

Jinchao Xu, Kai Yang

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

In this paper we develop a family of preconditioners for the linear algebraic systems arising from the arbitrary Lagrangian-Eulerian discretization of some fluid-structure interaction models. After the time discretization, we formulate the fluid-structure interaction equations as saddle point problems and prove the uniform well-posedness. Then we discretize the space dimension by finite element methods and prove their uniform well-posedness by two different approaches under appropriate assumptions. The uniform well-posedness makes it possible to design robust preconditioners for the discretized fluid-structure interaction systems. Numerical examples are presented to show the robustness and efficiency of these preconditioners.

Original languageEnglish (US)
Pages (from-to)69-91
Number of pages23
JournalComputer Methods in Applied Mechanics and Engineering
Volume292
DOIs
StatePublished - Aug 1 2015

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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