IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs: Cetraro, Italy 2012 (Lecture Notes in Mathematics)
暫譯: 等幾何分析：偏微分方程數值近似的新範式：意大利切特拉羅 2012（數學講義）

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.