IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs Cetraro, Italy 2012 /

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 t...

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Corporate Author: SpringerLink (Online service)
Other Authors: Buffa, Annalisa. (Editor, http://id.loc.gov/vocabulary/relators/edt), Sangalli, Giancarlo. (Editor, http://id.loc.gov/vocabulary/relators/edt)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:C.I.M.E. Foundation Subseries ; 2161
Subjects:
Online Access:https://doi.org/10.1007/978-3-319-42309-8
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245 1 0 |a IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs  |h [electronic resource] :  |b Cetraro, Italy 2012 /  |c edited by Annalisa Buffa, Giancarlo Sangalli. 
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505 0 |a 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. 
520 |a 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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