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

Springer Nature - Springer Mathematics and Statistics eBooks 2016 English International Available online

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Format:
Book
Contributor:
Buffa, Annalisa., Editor.
Sangalli, Giancarlo., Editor.
Series:
C.I.M.E. Foundation Subseries ; 2161
Language:
English
Subjects (All):
Numerical analysis.
Computer science--Mathematics.
Computer science.
Computer graphics.
Numerical Analysis.
Numeric Computing.
Computational Science and Engineering.
Computer Graphics.
Local Subjects:
Numerical Analysis.
Numeric Computing.
Computational Science and Engineering.
Computer Graphics.
Physical Description:
1 online resource (IX, 193 p. 81 illus., 70 illus. in color.)
Edition:
1st ed. 2016.
Place of Publication:
Cham : Springer International Publishing : Imprint: Springer, 2016.
Summary:
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.
Contents:
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.
Notes:
Description based on publisher supplied metadata and other sources.
ISBN:
3-319-42309-6
OCLC:
1066186977

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