IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs
Cetraro, Italy 2012
Nonfiction, Science & Nature, Mathematics, Number Systems, Computers, Programming
| 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.
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.
