In CAD-programs, objects are defined based on non-uniform rational B-splines (NURBS). When physical quantities (such as temperature or pressure) inside these objects are of interest, the geometry is discretized by means of a mesh, typically followed by a simulation with the FEM. Unfortunately, the mesh is only an approximation of the CAD object so that important geometrical information can be lost. An example is when curved boundaries are described by piecewise linear polygons. However, it has been demonstrated that NURBS may not only be used for the geometry description in CAD but also for the approximation of the sought fields. This is called the isogeometric concept, analogously to the well-known isoparametric concept in the FEM where the geometry description and approximation are based on polynomials rather than NURBS. In the last decade, IGA has triggered a large number of research activities and can be seen as a contemporary FEM. In the context of IGA, the Institute of Structural Analysis works on trimming, collocation, and the combination with the boundary element method for various applications in solid mechanics.