IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs [electronic resource] : Cetraro, Italy 2012 / edited by Annalisa Buffa, Giancarlo Sangalli.
Material type: TextSeries: C.I.M.E. Foundation Subseries ; 2161Publisher: Cham : Springer International Publishing : Imprint: Springer, 2016Description: IX, 193 p. 81 illus., 70 illus. in color. online resourceContent type:- text
- computer
- online resource
- 9783319423098
- 518 23
- QA297-299.4
Preface -- Standard and Non‐Standard CAGD Tool for Isogeometric Analysis: a Tutorial -- Models for Isogeometric Analysis from CAD -- An Introduction to the Numerical Analysis of Isogeometric Methods -- Isogeometric Compatible Discretizations for Viscous Incompressible Flow.
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.
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