===affil2:
Penn State University
===firstname:
Kai
===firstname4:

===firstname3:

===lastname2:
Xu
===keyword1:
PDE Systems/Coupled Multi-Physics
===lastname:
Yang
===firstname5:

===affil6:

===lastname3:

===email:
yangkai1001@gmail.com
===keyword2:
OTHER
===keyword_other2:
block preconditioners
===lastname6:

===affil5:

===otherauths:

===lastname4:

===affil4:

===lastname7:

===competition:
no
===affil7:

===firstname7:

===postal:
109 McAllister Building
Penn State University
University Park, PA 16802
===firstname6:

===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.

===affil3:

===keyword_other1:

===lastname5:

===affilother:

===title:
Stable Discretizations and Robust Block Preconditioners for Fluid-Structure Interaction Systems
===firstname2:
Jinchao