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IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs

IsoGeometric Analysis: A New Paradigm in the Numerical Approximation ...

Cetraro, Italy 2012

Contenu

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.

Informations bibliographiques

octobre 2016, env. 193 pages, Lecture Notes in Mathematics, C.I.M.E. Foundation Subseries, Anglais
Springer Nature EN
978-3-319-42308-1

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