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Record Nr. |
UNISALENTO991003555319707536 |
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Titolo |
Isogeometric analysis: a new paradigm in the numerical approximation of PDEs [e-book] : Cetraro, Italy 2012 / edited by Annalisa Buffa, Giancarlo Sangalli |
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Pubbl/distr/stampa |
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Cham : Springer International Publishing, 2016 |
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ISBN |
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Descrizione fisica |
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1 online resource (ix, 193 p. 81 ill., 70 ill. in color) |
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Collana |
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Lecture Notes in Mathematics, 0075-8434 ; 2161 |
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Classificazione |
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Altri autori (Persone) |
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Buffa, Annalisa |
Sangalli, Giancarlo |
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Disciplina |
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Soggetti |
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Numerical analysis |
Computer graphics |
Computer mathematics |
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Lingua di pubblicazione |
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Formato |
Software |
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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 simulation of a viscous incompressible flow |
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