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＜電子ブック＞
IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs : Cetraro, Italy 2012 / edited by Annalisa Buffa, Giancarlo Sangalli
(C.I.M.E. Foundation Subseries. ISSN:29461820 ; 2161)

版	1st ed. 2016.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2016
本文言語	英語
大きさ	IX, 193 p. 81 illus., 70 illus. in color : online resource
著者標目	Buffa, Annalisa editor Sangalli, Giancarlo editor SpringerLink (Online service)
件　名	LCSH:Numerical analysis LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Computer graphics FREE:Numerical Analysis FREE:Computational Science and Engineering FREE:Computer Graphics
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-42309-8

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