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 …

We consider the Galerkin boundary element method (BEM) for weakly-singular integral
equations of the first-kind in 2D. We analyze some residual-type a posteriori error estimator …

We derive and discuss a posteriori error estimators for Galerkin and collocation IGA
boundary element methods for weakly singular integral equations of the first-kind in 2D …

In a recent work (Feischl et al. in Eng Anal Bound Elem 62: 141–153, 2016), we analyzed a
weighted-residual error estimator for isogeometric boundary element methods in 2D and …

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 …

Since the advent of isogeometric analysis (IGA) in 2005, the finite element method (FEM)
and the boundary element method (BEM) with splines have become an active field of …

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 frame of isogeometric analysis, we consider a Galerkin boundary element
discretization of the hyper-singular integral equation associated with the 2D Laplacian. We …

We define and analyze (local) multilevel diagonal preconditioners for isogeometric
boundary elements on locally refined meshes in two dimensions. Hypersingular and weakly …

We present a coupling of the Finite Element and the Boundary Element Method in an
isogeometric framework to approximate either two-dimensional Laplace interface problems …