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

Isogeometric analysis (IGA) represents a recently developed technology in computational
mechanics that offers the possibility of integrating methods for analysis and Computer Aided …

The recent explosion of machine learning (ML) and artificial intelligence (AI) shows great
potential in the breakthrough of metal additive manufacturing (AM) process modeling, which …

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 …

Topology Optimization (TO) is a powerful numerical technique to determine the optimal
material layout in a design domain, which has accepted considerable developments in …

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 …

An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness
cracks in thin shell structures is developed. The discretization is based on Non-Uniform …

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 …

The aim of the present chapter is to provide an in‐depth survey of arbitrary Lagrangian–
Eulerian (ALE) methods, including both conceptual aspects of the mixed kinematical …