This review paper collects several results that form part of the theoretical foundation of
isogeometric methods. We analyse variational techniques for the numerical resolution of …

This paper reviews the state-of-the-art in numerical wave propagation analysis. The main
focus in that regard is on guided wave-based structural health monitoring (SHM) …

“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 …

Alfio Quarteroni Third Edition Page 1 MS&A – Modeling, Simulation and Applications 16
Numerical Models for Di erential Problems Alfio Quarteroni Third Edition Page 2 MS&A Volume …

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 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 …

Adaptive local refinement is one of the key issues in isogeometric analysis. In this article we
present an adaptive local refinement technique for isogeometric analysis based on …

In this paper we present an isogeometric formulation for rotation-free thin shell analysis of
structures comprised of multiple patches. The structural patches are C1-or higher-order …

The recently proposed locally refined B-splines, denoted LR B-splines, by Dokken et
al.(2013)[6] may have the potential to be a framework for isogeometric analysis to enable …