This document presents comprehensive historical accounts on the developments of finite
element methods (FEM) since 1941, with a specific emphasis on developments related to …

Fluid–structure interaction is ubiquitous in nature and occurs at all biological scales.
Immersed methods provide mathematical and computational frameworks for modeling fluid …

In this paper, we develop a geometrically flexible technique for computational fluid–structure
interaction (FSI). The motivating application is the simulation of tri-leaflet bioprosthetic heart …

The interactions between incompressible fluid flows and immersed structures are nonlinear
multi-physics phenomena that have applications to a wide range of scientific and …

The finite cell method is an embedded domain method, which combines the fictitious domain
approach with higher-order finite elements, adaptive integration, and weak enforcement of …

The current communication is a state-of-the-art review of the recently developed
Isogeometric analysis and its various applications such as structural, thermal, fluid–structure …

A NURBS (non-uniform rational B-splines)-based isogeometric fluid–structure interaction
formulation, coupling incompressible fluids with non-linear elastic solids, and allowing for …

In this review, we introduce immersed boundary (IB) methods for fluid-structure interactions
(FSIs) of rigid and elastic bodies. IB methods impose momentum forcing on an Eulerian …

Facial movements support a variety of functions in human behavior. They participate in
automatic somatic and visceral motor programs, they are essential in producing …

In recent years, dielectrophoretic force has been used to manipulate colloids, inert particles,
and biological microparticles, such as red blood cells, white blood cells, platelets, cancer …