02449nmm a2200361 i 4500991003555319707536cr cn ---mpcbr181009s2016 sz | o j |||| 0|eng d978331942308110.1007/978-3-319-42309-8doib14351444-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng51823AMS 65-06LC QA297-299.4Isogeometric analysis: a new paradigm in the numerical approximation of PDEs[e-book] :Cetraro, Italy 2012 /edited by Annalisa Buffa, Giancarlo SangalliCham :Springer International Publishing,20161 online resource (ix, 193 p. 81 ill., 70 ill. in color)Lecture Notes in Mathematics,0075-8434 ;2161Preface ; 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 FlowProviding 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 flowNumerical analysisComputer graphicsComputer mathematicsBuffa, AnnalisaSangalli, GiancarloPrinted edition:9783319423081https://link.springer.com/book/10.1007/978-3-319-42309-8An electronic book accessible through the World Wide Web.b1435144403-03-2209-10-18991003555319707536Isogeometric analysis: a new paradigm in the numerical approximation of PDEs1749139UNISALENTOle01309-10-18m@ -engsz 00