IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs

Cetraro, Italy 2012
1. Auflage 2016
ISBN: 978-3-319-42308-1
Verlag: Springer

Buch, Englisch, 193 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 3226 g

Reihe: C.I.M.E. Foundation Subseries

Providing an introduction to isogeometric methods with a focus on their mathematical foundations, this book is composed of four chapters, each devoted to a topic of special interests for isogeometric methods and their theoretical understanding. It contains a tutorial on splines and generalizations that are used in CAD parametrizations, and gives an overview of geometric modeling techniques that can be used within the isogeometric approach, with a focus on non-tensor product splines. Finally, it presents the mathematical properties of isogeometric spaces and spline spaces for vector field approximations, and treats in detail an application of fundamental importance:  the isogeometric simulation of a viscous incompressible flow. 
The contributions were written by Carla Manni and Hendrik Speelers ,  Vibeke Skytt and Tor Dokken, Lourenco Beirao da Veiga, Annalisa Buffa, Giancarlo Sangalli and Rafael Vazquez, and finally by John Evans and Thomas J.R. Hughes.

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Buffa, Annalisa

Sangalli, Giancarlo

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Inhaltsverzeichnis

Preface.- Standard and Non-Standard CAGD Tool for Isogeometric Analysis: a Tutorial.- Models for Isogeometric Analysis from CAD.- An Introduction to the Numerical Analysis of Isogeometric Methods.- Isogeometric Compatible Discretizations for Viscous Incompressible Flow.