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

Cetraro, Italy 2012

Nonfiction, Science & Nature, Mathematics, Number Systems, Computers, Programming
Cover of the book IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs by , Springer International Publishing
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Author: ISBN: 9783319423098
Publisher: Springer International Publishing Publication: October 5, 2016
Imprint: Springer Language: English
Author:
ISBN: 9783319423098
Publisher: Springer International Publishing
Publication: October 5, 2016
Imprint: Springer
Language: English

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. 

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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. 

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