Isogeometric analysis, commonly addressed as IGA, is a technique that has become
popular since. In a broad sense it refers to computational mechanics applications
that encapsulate computational geometry techniques or vice versa. The
direct application of this concept is to use the shape functions describing the geometry
as a discrete space for a Galerkin method. Numerous computational techniques
benefit from this encapsulation. One of the major outcomes of IGA is a vigorous
cooperation between computational mechanics and computational geometry
communities. The result is a combination of techniques that was unknown to each
community for decades. The number of successful applications is great and most
modern computational mechanics aspects are covered. Worth mentioning are fluid
dynamics applications in turbulent flows, divergence conforming type of
spaces and fluid structure interaction applications. Structural mechanics
IGA applications include shell theory, vibration analysis, contact mechanics and biomechanic applications. Application of the isogeometric concept to potential flows and Stokes flows through boundary element techniques have also seen recent advances...
