03482nam 22006375 450 99646676080331620200704144550.03-319-42309-610.1007/978-3-319-42309-8(CKB)3710000000909091(DE-He213)978-3-319-42309-8(MiAaPQ)EBC6303937(MiAaPQ)EBC5578189(Au-PeEL)EBL5578189(OCoLC)1066186977(PPN)196319218(EXLCZ)99371000000090909120161005d2016 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierIsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs[electronic resource] Cetraro, Italy 2012 /edited by Annalisa Buffa, Giancarlo Sangalli1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (IX, 193 p. 81 illus., 70 illus. in color.) C.I.M.E. Foundation Subseries ;21613-319-42308-8 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.C.I.M.E. Foundation Subseries ;2161Numerical analysisComputer mathematicsComputer graphicsNumerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Numeric Computinghttps://scigraph.springernature.com/ontologies/product-market-codes/I1701XComputational Science and Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/M14026Computer Graphicshttps://scigraph.springernature.com/ontologies/product-market-codes/I22013Numerical analysis.Computer mathematics.Computer graphics.Numerical Analysis.Numeric Computing.Computational Science and Engineering.Computer Graphics.515.15Buffa Annalisaedthttp://id.loc.gov/vocabulary/relators/edtSangalli Giancarloedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK996466760803316Isogeometric analysis: a new paradigm in the numerical approximation of PDEs1749139UNISA