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

Cetraro, Italy 2012

AvAnnalisa Buffa,Giancarlo Sangalli

Häftad, Engelska, 2016

Del 2161 i serien Lecture Notes in Mathematics

392 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2016-10-06
Mått:155 x 235 x 19 mm
Vikt:334 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:193
Upplaga:16001
Förlag:Springer International Publishing AG
ISBN:9783319423081

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Recensioner i media

"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)

Innehållsförteckning

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.

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