Isogeometric analysis

Abstract

We present an introduction to Isogeometric Analysis, a new methodology for solving partial differential equations (PDEs) based on a synthesis of Computer Aided Design (CAD) and Finite Element Analysis (FEA) technologies. A prime motivation for the development of Isogeometric Analysis is to simplify the process of building detailed analysis models for complex engineering systems from CAD representations, a major bottleneck in the overall engineering process. However, we also show that Isogeometric Analysis is a powerful methodology for providing more accurate solutions of PDEs, and we summarize recently obtained mathematical results and describe open problems.