About this book
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.
Isogeometric analysis Splines Finite element method Computer aided geometric design Approximation of partial differential equations
Springer International Publishing Switzerland 2016
Mathematics and Statistics
Series Print ISSN
Series Online ISSN
Buy this book on publisher's site