TY  - BOOK
AU  - Buffa,Annalisa
AU  - Sangalli,Giancarlo
ED  - International Mathematical Summer Centre
TI  - Isogeometric analysis: a new paradigm in the numerical approximation of PDEs 
T2  - Lecture notes in mathematics
SN  - 9783319423081 
U1  - 511.6 23
PY  - 2016///
CY  - Switzerland : 
PB  - Springer
KW  - Isogeometric analysis
KW  - Congresses
KW  - Geometric analysis
N1  - Standard and non-standard CAGD tools for isogeometric analysis : a tutorial / Carla Manni and Hendrik Speleers --
 Models for isogeometric analysis from CAD / Vibeke Skytt and Tor Dokken --
 An introduction to the numerical analysis of isogeometric methods / L. Beirão da Veiga, A. Buffa, G. Sangalli, and R. Vázquez --
Isogeometric compatible discretizations for viscous incompressible flow / John A. Evans and Thomas J.R. Hughes
N2  - 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.
ER  -