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

Cetraro, Italy 2012

193 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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. 

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783319423081
• Sprache: Englisch
• Erscheinungsdatum: 06.10.2016
• Genre: Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik
• Verlag: Springer International Publishing
• Herausgegeben von: Annalisa Buffa, Giancarlo Sangalli