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

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Format: Häftad (Paperback / softback)
Språk: Engelska
Antal sidor: 193
Utgivningsdatum: 2016-10-06
Upplaga: 1st ed. 2016
Förlag: Springer International Publishing AG
Medarbetare: Buffa, Annalisa (ed.), Sangalli, Giancarlo (ed.)
Illustratör/Fotograf: Bibliographie 82 farbige Abbildungen
Illustrationer: 70 Illustrations, color; 11 Illustrations, black and white; IX, 193 p. 81 illus., 70 illus. in color
Dimensioner: 234 x 156 x 11 mm
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Antal komponenter: 1
Komponenter: 1 Paperback / softback
ISBN: 9783319423081

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

Name: IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs
Price: 462.00 SEK
Availability: InStock
Author: Annalisa Buffa, Giancarlo Sangalli
ISBN: 9783319423081

Cetraro, Italy 2012

av Annalisa Buffa, Giancarlo Sangalli

Häftad, Engelska, 2016-10-06

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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.

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Splines and PDEs: From Approximation Theory to Numerical Linear Algebra

Angela Kunoth, Tom Lyche, Giancarlo Sangalli, Stefano Serra-Capizzano, Tom Lyche

This book takes readers on a multi-perspective tour through state-of-the-art mathematical developments related to the numerical treatment of PDEs based on splines, and in particular isogeometric methods. A wide variety of research topics are cover...

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All chapters are illustrated with many high-quality figures, most of them in color. This greatly helps the reader understand the underlying concepts. I fully recommend it as good material for traditionally educated finite element experts who want to extend their knowledge to this new area, and also for finite element novices who want to get into the field. (Kai Diethelm, Computing Reviews, February, 2017)

Preface.- Standard and NonStandard 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.