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

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 …

Isogeometric analysis (IGA), an approach that integrates CAE into conventional CAD design
tools, has been used in structural optimization for 10 years, with plenty of excellent research …

One key feature of isogeometric analysis is that it allows smooth shape functions. Indeed,
when isogeometric spaces are constructed from p-degree splines (and extensions, such as …

We introduce Bézier projection as an element-based local projection methodology for B-
splines, NURBS, and T-splines. This new approach relies on the concept of Bézier …

In this paper we introduce methods for electromagnetic wave propagation, based on splines
and on T-splines. We define spline spaces which form a De Rham complex and following …

The contents of this paper is twofold. First, important recent results concerning finite element
methods for convection-dominated problems and incompressible flow problems are …

The construction of smooth surfaces of complex shapes is at the heart of computer-aided
design (CAD). Many different approaches generating C 1-smooth surfaces are available and …

The analysis of the Kirchhoff plate is performed using rational Bézier triangles in
isogeometric analysis coupled with a feature‐preserving automatic meshing algorithm …

This paper outlines and qualitatively compares the implementations of seven different
methods for solving Poisson's equation on the disk. The methods include two classical finite …