1.

Record Nr.

UNISA996466760803316

Titolo

IsoGeometric Analysis:  A New Paradigm in the Numerical Approximation of PDEs [[electronic resource] ] : Cetraro, Italy 2012 / / edited by Annalisa Buffa, Giancarlo Sangalli

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016

ISBN

3-319-42309-6

Edizione

[1st ed. 2016.]

Descrizione fisica

1 online resource (IX, 193 p. 81 illus., 70 illus. in color.)

Collana

C.I.M.E. Foundation Subseries ; ; 2161

Disciplina

515.15

Soggetti

Numerical analysis

Computer mathematics

Computer graphics

Numerical Analysis

Numeric Computing

Computational Science and Engineering

Computer Graphics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Preface -- Standard and Nonā€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.

Sommario/riassunto

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.