A Survey on Isogeometric Collocation Methods with Applications

Isogeometric analysis (IGA) is an effective numerical method for connecting computer-aided design and engineering, which has been widely applied in various aspects of computational mechanics. IGA involves Galerkin collocation formulations. Exploiting the same high-order non-uniform rational B-spline (NURBS) bases that span physical domain solution space leads to increased accuracy fast computation. Although provides optimal convergence, performs better terms ratio time. Without integration, by working directly with strong form partial differential equation over defined NURBS geometry, derivatives NURBS-expressed at some chosen points can be calculated. In this study, we survey methodological framework research prospects IGA. The schemes affect convergence performance are addressed paper. Recent studies application developments reviewed as well.