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

IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs: Cetraro, Italy 2012: Lecture Notes in Mathematics, cartea 2161

Editat de Annalisa Buffa, Giancarlo Sangalli
en Limba Engleză Paperback – 6 oct 2016
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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Specificații

ISBN-13: 9783319423081
ISBN-10: 3319423088
Pagini: 190
Ilustrații: IX, 193 p. 81 illus., 70 illus. in color.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.3 kg
Ediția:1st ed. 2016
Editura: Springer International Publishing
Colecția Springer
Seriile Lecture Notes in Mathematics, C.I.M.E. Foundation Subseries

Locul publicării:Cham, Switzerland

Cuprins

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.

Recenzii

“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)

Textul de pe ultima copertă

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.

Caracteristici

Contains a clear exposition of the mathematical structure of isogeometric analysis Contains a very illustrative application to the Navier Stokes equation The format of courses is well-balanced with an excellent presentation