Stable Discretizations and Robust Block Preconditioners for Fluid-Structure Interaction Systems

By Kai Yang

Penn State University

Published on

Abstract

In our work 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 of these formulations. 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 block preconditioners for the discretized fluid-structure interaction systems. Numerical examples are presented to demonstrate the robustness of these preconditioners.

Cite this work

Researchers should cite this work as follows:

  • Kai Yang (2016), "Stable Discretizations and Robust Block Preconditioners for Fluid-Structure Interaction Systems," http://nanohub.org/resources/23524.

    BibTex | EndNote

Submitter

NanoBio Node, Aly Taha

University of Illinois at Urbana-Champaign

Tags