Abstract
AbstractThis 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 and the boundary element method in the frame of isogeometric analysis.
Funder
austrian science fund
european research council
swiss national science fund
istituto nazionale di alta matematica
TU Wien
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computer Science Applications
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