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 …

Background: Curved modeling technology originated from the geometric lofting and design
of aircrafts, automobiles and ships. The control points of the traditional B-spline mesh should …

We formulate and analyze an adaptive algorithm for isogeometric analysis with hierarchical
B-splines for weakly-singular boundary integral equations. We prove that the employed …

We report on the Matlab program package IGABEM2D which provides an easily accessible
implementation of adaptive Galerkin boundary element methods in the frame of …

In the present work, we consider weakly-singular integral equations arising from linear
second-order elliptic PDE systems with constant coefficients, including, eg linear elasticity …

We consider isogeometric discretizations of the Poisson model problem, focusing on high
polynomial degrees and strong hierarchical refinements. We derive a posteriori error …

The development of innovative products demands multi-material lightweight designs with
complex heterogeneous local material structures. Their computer-aided engineering relies …

We consider isogeometric discretizations of the Poisson model problem, focusing on high
polynomial degrees and strong hierarchical refinements. We derive a posteriori error …

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 …