@Article{NMTMA-7-537,
author = {Ying He and Jie Shen},
title = {Unconditionally Stable Pressure-Correction Schemes for a Linear Fluid-Structure Interaction Problem},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2014},
volume = {7},
number = {4},
pages = {537--554},
abstract = {<p style="text-align: justify;">We consider in this paper numerical approximation of the linear Fluid-Structure Interaction (FSI). We construct a new class of pressure-correction schemes
for the linear FSI problem with a fixed interface, and prove rigorously that they
are unconditionally stable. These schemes are computationally very efficient, as
they lead to, at each time step, a coupled linear elliptic system for the velocity and
displacement in the whole region and a discrete Poisson equation in the fluid region.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2014.1307si},
url = {http://global-sci.org/intro/article_detail/nmtma/5889.html}
}