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Isogeometric analysis : a new paradigm in the numerical approximation of PDEs / [edited by] Annalisa Buffa and Giancarlo Sangalli.

By: International Mathematical Summer Centre.
Contributor(s): Buffa, Annalisa [editor] | Sangalli, Giancarlo [editor].
Material type: TextTextSeries: Lecture notes in mathematics ; 2161; CIME foundation subseries.Publisher: Switzerland : Springer, 2016Description: ix, 193 pages : color illustrations ; 23 cm.ISBN: 9783319423081 .Subject(s): Isogeometric analysis -- Congresses | Geometric analysis -- CongressesDDC classification: 511.6
Contents:
Standard and non-standard CAGD tools for isogeometric analysis : a tutorial / Carla Manni and Hendrik Speleers -- Models for isogeometric analysis from CAD / Vibeke Skytt and Tor Dokken -- An introduction to the numerical analysis of isogeometric methods / L. Beirão da Veiga, A. Buffa, G. Sangalli, and R. Vázquez -- Isogeometric compatible discretizations for viscous incompressible flow / John A. Evans and Thomas J.R. Hughes.
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.
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Item type Current location Call number Status Date due Barcode Item holds
Books Books ISI Library, Kolkata
 
511.6 In61 (Browse shelf) Available 137706
Total holds: 0

Standard and non-standard CAGD tools for isogeometric analysis : a tutorial / Carla Manni and Hendrik Speleers --
Models for isogeometric analysis from CAD / Vibeke Skytt and Tor Dokken --
An introduction to the numerical analysis of isogeometric methods / L. Beirão da Veiga, A. Buffa, G. Sangalli, and R. Vázquez --
Isogeometric compatible discretizations for viscous incompressible flow / John A. Evans and Thomas J.R. Hughes.

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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