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

Cetraro, Italy 2012

Annalisa Buffa, Giancarlo Sangalli (Herausgeber)

Buch | Softcover

IX, 193 Seiten

2016 | 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-42308-1 (ISBN)

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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.

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.

"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)

Erscheinungsdatum	06.10.2016
Reihe/Serie	C.I.M.E. Foundation Subseries
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	IX, 193 p. 81 illus., 70 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	340 g
Themenwelt	Mathematik / Informatik ► Informatik ► Software Entwicklung
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	approximation of partial differential equations • computational science and engineering • computer aided geometric design • Computer Graphics • Finite Element Method • isogeometric analysis • mathematics and statistics • Numerical analysis • numeric computing • Splines
ISBN-10	3-319-42308-8 / 3319423088
ISBN-13	978-3-319-42308-1 / 9783319423081
Zustand	Neuware