Hierarchical meshes are attractive in Isogeometric Analysis as additional degrees of freedom can be inserted locally in a uniform way in regions where needed. Three are three major approaches to locally refined splines over hierarchical meshes: Truncated Hierarchical B-splines (THB), T-spline (TS) a...

The focus on locally refined spline spaces has grown rapidly in recent years due to the need in Isogeometric Analysis (IgA) of spline spaces with local adaptivity: a property not offered by the strict regular structure of tensor product B-spline spaces. However, this flexibility sometimes results in...

The mesh of knot lines of Truncated Hierarchical B-splines (THB) looks like the LR-mesh used for Locally Refined B-Spline (LRB). In most cases the spline space spanned by THB can be exactly reproduced by LRB. In this presentation we will start from such mesh configurations. The use of open knot vect...

A major challenge for the deployment of Isogeometric Analysis (IgA) in industry is the availability of industrial accepted solutions (CAD, FEA) and the legacy and bulk of preexisting digital information. Rather than focusing on application areas dominated by FEA, IgA should focus on novel applicatio...

Additive Manufacturing (AM) is a collective term for processes that join material, usually layer upon layer, to make parts from 3D model data. AM creates parts with new, variable and anisotropic material properties, innovative outer shape and advanced inner structures not possible to produce with su...

The volume of geospatial data acquired by satellites, from the air, on the ground, on the sea or in the sea using image, lidar or sonar technology is continuously growing. Surveys are often conducted in locations that have existing data from before, providing updated datasets. The data acquired can ...

A challenge for the deployment of IGA in industry is existing solutions (CAD, FEA) and the legacy and bulk of preexisting digital information. Rather than focusing on application areas dominated by FEA, IGA should focus on novel applications areas where fewer established solutions exist and the lega...

The challenges of geometric representation for Additive Manufacturing (AM) are many. Material properties can vary through the object, lattice structure and internal voids are used for improving performance. State-of-the-art CAD-tools are not well suited for AM as they are b-rep based: An object is r...

Tor Dokken ble intervjuet om digital og matematiske utfordringer knyttet til produktutvikling for additiv produksjon. Erfaringer og resultater fra EU-prosjektet www.caxman.eu ble presentert....