Mathematical and numerical modelling of the cardiovascular system is a research topic that
has attracted remarkable interest from the mathematical community because of its intrinsic …

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 …

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 authors are the originators of isogeometric analysis, are excellent scientists and good
educators. It is very original. There is no other book on this topic.”—René de Borst …

We explore T-splines, a generalization of NURBS enabling local refinement, as a basis for
isogeometric analysis. We review T-splines as a surface design methodology and then …

We explore hierarchical refinement of NURBS as a basis for adaptive isogeometric and
immersed boundary analysis. We use the principle of B-spline subdivision to derive a local …

We present the B'ezier extraction operator and isogeometric Bézier elements for non‐
uniform rational B‐Spline (NURBS)‐based isogeometric analysis. The Bézier extraction …

We present a fully-coupled monolithic formulation of the fluid-structure interaction of an
incompressible fluid on a moving domain with a nonlinear hyperelastic solid. The arbitrary …

We present an LES-type variational multiscale theory of turbulence. Our approach derives
completely from the incompressible Navier–Stokes equations and does not employ any ad …

We couple collocated isogeometric boundary element methods and unstructured analysis-
suitable T-spline surfaces for linear elastostatic problems. We extend the definition of …