IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs Cetraro, Italy 2012 /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Buffa, Annalisa (Editor), Sangalli, Giancarlo (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Lecture Notes in Mathematics, 2161
• Subjects: Mathematics.; Numerical analysis.; Computer graphics.; Computer mathematics.; Numerical Analysis.; Numeric Computing.; Computational Science and Engineering.; Computer Graphics.
• Physical Description: IX, 193 p. 81 illus., 70 illus. in color. online resource.
• ISBN: 9783319423098
• ISSN: 0075-8434 ;

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.