LEADER 02449nmm a2200361 i 4500 001 991003555319707536 007 cr cn ---mpcbr 008 181009s2016 sz | o j |||| 0|eng d 020 $a9783319423081 024 7 $a10.1007/978-3-319-42309-8$2doi 035 $ab14351444-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 04$a518$223 084 $aAMS 65-06 084 $aLC QA297-299.4 245 00$aIsogeometric analysis: a new paradigm in the numerical approximation of PDEs$h[e-book] :$bCetraro, Italy 2012 /$cedited by Annalisa Buffa, Giancarlo Sangalli 260 $aCham :$bSpringer International Publishing,$c2016 300 $a1 online resource (ix, 193 p. 81 ill., 70 ill. in color) 490 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2161 505 0 $aPreface ; 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 520 $aProviding an introduction to isogeometric methods with a focus on their mathematical foundations, this book is composed of four chapters, each devoted to a topic of special interests for isogeometric methods and their theoretical understanding. It contains a tutorial on splines and generalizations that are used in CAD parametrizations, and gives an overview of geometric modeling techniques that can be used within the isogeometric approach, with a focus on non-tensor product splines. Finally, it presents the mathematical properties of isogeometric spaces and spline spaces for vector field approximations, and treats in detail an application of fundamental importance: the isogeometric simulation of a viscous incompressible flow 650 0$aNumerical analysis 650 0$aComputer graphics 650 0$aComputer mathematics 700 1 $aBuffa, Annalisa 700 1 $aSangalli, Giancarlo 776 08$iPrinted edition:$z9783319423081 856 40$uhttps://link.springer.com/book/10.1007/978-3-319-42309-8$zAn electronic book accessible through the World Wide Web 907 $a.b14351444$b03-03-22$c09-10-18 912 $a991003555319707536 996 $aIsogeometric analysis: a new paradigm in the numerical approximation of PDEs$91749139 997 $aUNISALENTO 998 $ale013$b09-10-18$cm$d@ $e-$feng$gsz $h0$i0