SEMINAIRE D'ANALYSE NUMERIQUE
Année universitaire 2014-2015
Jeudi 5 février 2015 :
Carla MANNI
et
Hendrik SPELEERS
(Università di Roma “Tor Vergata”)
Isogeometric Analysis: a short introduction and few perspectives.
Isogeometric Analysis (IgA) is a simulation paradigm aiming to reduce the
gap between the worlds of Finite Element Analysis (FEA) and Computer-Aided
Design (CAD). The main idea is to use the CAD representations not only to
model physical domains but also to approximate the solution of differential
problems. Tensor-product B-splines and Non-Uniform Rational B-Splines
(NURBS) are common tools in CAD, and so they are in IgA.
Unfortunately, NURBS present various drawbacks ranging from a poor behavior
with respect to differentiation/integration to the lack of strictly
localized refinement. This motivates the interest in alternative spline
structures for IgA. In this talk we briefly introduce the IgA paradigm and
shortly discuss the use of alternative spline spaces in this context.
