Isogeometric analysis in HPC: object oriented design and open source massively parallel implementation

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...