IGA2025

IS005 - Adaptive Spline Technologies

Organized by: C. Giannelli (University of Florence, Italy), C. Manni (University of Rome "Tor Vergata"", Italy), H. Speleers (University of Rome "Tor Vergata"", Italy) and R. Vázquez (University of Santiago de Compostela, Spain)
Keywords: adaptive IGA, adaptive splines, adaptivity, local refinements
Isogeometric analysis was originally proposed considering polynomial and rational tensor-product B-spline constructions. A lot of research has been successively devoted to developing spline tools to properly combine computer aided design methods and standards with numerical methods for partial differential equations in different directions. In particular, several alternatives to overcome the limitations of the tensor-product model and enable local refinement possibilities were proposed over the years, as for example T-splines, LR B-splines, THB-splines, and different spline constructions on triangulations. This minisymposium aims at showcasing the state of the art and presenting recent developments in the field of adaptive spline technologies and related extensions, as well as applications for the design of adaptive isogeometric methods. Both theoretical and application-oriented contributions from any field of (iso-)geometric design and analysis are highly encouraged.