IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs
IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs Cetraro, Italy 2012 / [electronic resource] :
edited by Annalisa Buffa, Giancarlo Sangalli.
- IX, 193 p. 81 illus., 70 illus. in color. online resource.
- C.I.M.E. Foundation Subseries ; 2161 .
- C.I.M.E. Foundation Subseries ; 2161 .
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.
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.
9783319423098
10.1007/978-3-319-42309-8 doi
Numerical analysis.
Electronic data processing.
Computer science.
Computer graphics.
Numerical Analysis.
Numeric Computing.
Computational Science and Engineering.
Computer Graphics.
QA297-299.4
518
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.
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.
9783319423098
10.1007/978-3-319-42309-8 doi
Numerical analysis.
Electronic data processing.
Computer science.
Computer graphics.
Numerical Analysis.
Numeric Computing.
Computational Science and Engineering.
Computer Graphics.
QA297-299.4
518