Isogeometric analysis
a new paradigm in the numerical approximation of PDEs
International Mathematical Summer Centre
creator
Buffa, Annalisa
editor
Sangalli, Giancarlo
editor
text
nyu
Switzerland
Springer
2016
monographic
eng
ix, 193 pages : color illustrations ; 23 cm.
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.
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.
[edited by] Annalisa Buffa and Giancarlo Sangalli.
Isogeometric analysis
Congresses
Geometric analysis
Congresses
511.6 In61
Lecture notes in mathematics ; 2161
CIME foundation subseries
9783319423081
ISI Library
160920
20170614123517.0
137706