ENGLISH

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

By Annalisa Buffa , Giancarlo Sangalli (eds.)

Book information

Publisher
Springer ; [Cetraro] : Fondazione CIME Roberto Conti
Year
2016
ISBN
3319423088, 978-3-319-42308-1, 978-3-319-42309-8
Language
english
Format
PDF
Filesize
4 MB (4525147 bytes)
Series
Lecture notes in mathematics 2161; Lecture notes in mathematics . CIME Foundation subseries
Edition
1st ed.
Pages
193\203
Library
kolxoz
Time added
2017-10-15 16:00:00
Isogeometric analysis -- Congresses;Geometric anal

Description

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.  The contributions were written by Carla Manni and Hendrik Speelers, Vibeke Skytt and Tor Dokken, Lourenco Beirao da Veiga, Annalisa Buffa, Giancarlo Sangalli and Rafael Vazquez, and finally by John Evans and Thomas J.R. Hughes.  Front Matter....Pages i-ix Standard and Non-standard CAGD Tools for Isogeometric Analysis: A Tutorial....Pages 1-69 Models for Isogeometric Analysis from CAD....Pages 71-86 An Introduction to the Numerical Analysis of Isogeometric Methods....Pages 87-154 Isogeometric Compatible Discretizations for Viscous Incompressible Flow....Pages 155-193 Back Matter....Pages 195-196

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