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 …

Valvular heart disease is a major cause of morbidity and mortality worldwide. Current heart
valve prostheses have considerable clinical limitations due to their artificial, nonliving nature …

Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …

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

Heart valve fluid–structure interaction (FSI) analysis is one of the computationally
challenging cases in cardiovascular fluid mechanics. The challenges include unsteady flow …

The native human heart valve leaflet contains a layered microstructure comprising a
hierarchical arrangement of collagen, elastin, proteoglycans and various cell types. Here …

In this paper, we present an accurate and efficient isogeometric topology optimization
method that integrates the non-uniform rational B-splines based isogeometric analysis and …

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 …

A recently introduced NURBS mesh generation method for complex-geometry Isogeometric
Analysis (IGA) is applied to building a high-quality mesh for a gas turbine. The compressible …