Isogeometric analysis

Abstract

Isogeometric Analysis – commonly abbreviated as IGA – is a strategy for the spatial approximation of PDEs based on the so–called isogeometric concept. Extensively developed in the last years starting from the seminal work of T.J.R. Hughes and collaborators [HCB05] in 2005, IGA originally aimed at restoring the centrality of the geometric representation of the computational domain in the numerical approximation of PDEs. IGA was developed with the promise to close the current gap between Computer Aided Design (CAD) procedures and computational modeling of PDEs (as outlined e.g. in Sec. 8.1) by recognizing that the meshing procedure of the computational domain is indeed a major bottleneck in Engineering practice.