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 International Publishing

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

Reihe: Lecture Notes in Mathematics

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 byJohn Evans and Thomas J.R. Hughes.

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Sangalli, Giancarlo

Buffa, Annalisa

Fachgebiete

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

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.