Isogeometric Boundary Element Method for Analysis and Design Optimization—A Survey

Abstract

Analysis of potential problems related to fluid flow and heat transfer can be solved effectively with Boundary Element Methods (BEMs) due to the reason that the interaction takes place at boundaries. BEMs too suffer the traditional problem of approximated geometry. A recent method called Isogeometric Analysis (IGA) was proposed for exact geometric analysis. The combination of the IGA and BEM leads to Isogeometric Boundary Element Method (IGBEM), which has the feature of exact boundary analysis. It suits well for the problems where boundaries of the domains are of interest like fluid structure interaction, shape optimization, etc. This paper provides a brief review on IGBEM by clearly explaining its methodology, applications, limitations and future directions.