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

This review paper discusses the developments in immersed or unfitted finite element
methods over the past decade. The main focus is the analysis and the treatment of the …

We present formulations for compressible and incompressible hyperelastic thin shells which
can use general 3D constitutive models. The necessary plane stress condition is enforced …

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 …

We propose a framework that combines variational immersed-boundary and arbitrary
Lagrangian–Eulerian methods for fluid–structure interaction (FSI) simulation of a …

This paper builds on a recently developed immersogeometric fluid–structure interaction
(FSI) methodology for bioprosthetic heart valve (BHV) modeling and simulation. It enhances …

With heart and cardiovascular diseases continually challenging healthcare systems
worldwide, translating basic research on cardiac (patho) physiology into clinical care is …

Unfitted finite element techniques are valuable tools in different applications where the
generation of body-fitted meshes is difficult. However, these techniques are prone to severe …

Abstract The (Isogeometric) Finite Cell Method–in which a domain is immersed in a
structured background mesh–suffers from conditioning problems when cells with small …

Numerous studies have suggested that medical image derived computational mechanics
models could be developed to reduce mortality and morbidity due to cardiovascular …