Publications in Scientific Journals:

A. Buffa, G. Gantner, C. Giannelli, D. Praetorius, R. Vazquez:
"Mathematical foundations of adaptive isogeometric analysis";
accepted for publication in Archives of Computational Methods in Engineering (2022).

English abstract:
This paper reviews the state of the art and discusses recent developments in the field of adaptive isogeometric analysis, with special focus on the mathematical theory. This includes
an overview of available spline technologies for the local resolution of possible singularities
as well as the state-of-the-art formulation of convergence and quasi-optimality of adaptive
algorithms for both the finite element method (FEM) and the boundary element method (BEM)
in the frame of isogeometric analysis (IGA).

Created from the Publication Database of the Vienna University of Technology.