The immersed boundary (IB) method is both a mathematical formulation and a numerical
method for fluid–structure interaction problems, in which immersed incompressible visco …

We introduce a new formulation for the finite element immersed boundary method which
makes use of a distributed Lagrange multiplier. We prove that a full discretization of our …

SUMMARY A novel method called immersed smoothed FEM using three‐node triangular
element is proposed for two‐dimensional fluid–structure interaction (FSI) problems with …

Various methods of analysis for the solution of fluid flows with structural interactions have
been proposed in the literature, and new techniques are being developed. In these …

SUMMARY A procedure for modeling the heart valves is presented. Instead of modeling
complete leaflet motion, leaflets are modeled in open and closed configurations. The …

In this paper, we review the existing interpolation functions and introduce a finite element
interpolation function to be used in the immersed boundary and finite element methods. This …

Immersed boundary (IB) methods deal with incompressible visco-elastic solids interacting
with incompressible viscous fluids. A long-standing issue of IB methods is the challenge of …

A three-dimensional immersed smoothed finite element method (3D IS-FEM) using four-
node tetrahedral element is proposed to solve 3D fluid–structure interaction (FSI) problems …

In this paper, we develop a “modified” immersed finite element method (mIFEM), a non-
boundary-fitted numerical technique, to study fluid–structure interactions. Using this method …

The parachute inflation process involves fluid–structure interaction problems posing several
mathematical and engineering challenges, eg accurate aerodynamics calculations for bluff …