Isogeometric analysis : a new paradigm in the numerical approximation of PDEs / [edited by] Annalisa Buffa and Giancarlo Sangalli.
International Mathematical Summer Centre
Buffa, Annalisa, editor
Sangalli, Giancarlo, editor
Isogeometric analysis Congresses.
Geometric analysis Congresses.
511.6 23 In61
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.
Switzerland : Springer,
2016.
2016.
2016
Text
ix, 193 pages :
eng
Lecture notes in mathematics ; 2161.
CIME foundation subseries