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Record Nr. |
UNINA9910148978703321 |
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Titolo |
IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs : Cetraro, Italy 2012 / / edited by Annalisa Buffa, Giancarlo Sangalli |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
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ISBN |
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Edizione |
[1st ed. 2016.] |
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Descrizione fisica |
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1 online resource (IX, 193 p. 81 illus., 70 illus. in color.) |
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Collana |
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C.I.M.E. Foundation Subseries ; ; 2161 |
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Disciplina |
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Soggetti |
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Numerical analysis |
Computer mathematics |
Computer graphics |
Numerical Analysis |
Numeric Computing |
Computational Science and Engineering |
Computer Graphics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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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Sommario/riassunto |
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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 |
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