Bioelectric modeling problems, such as electroencephalography, magnetoencephalography
, transcranial electrical stimulation, deep brain stimulation, and transcranial magnetic …

Isogeometric Analysis (IGA), which tries to bridge the gap between Computer Aided
Engineering (CAE) and Computer Aided Design (CAD), has been widely proposed in recent …

The isogeometric formulation of the boundary element method (IgA‐BEM) is investigated
within the adaptivity framework. Suitable weighted quadrature rules to evaluate integrals …

Dense kernel matrices $\Theta\in\mathbb {R}^{N\times N} $ obtained from point evaluations
of a covariance function $ G $ at locations $\{x_ {i}\} _ {1\leq i\leq N}\subset\mathbb {R}^{d} …

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 …

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 …

The advent of Isogeometric analysis enabled advances towards the straightforward
connection between geometric design and mechanical modelling phases. 3D approaches of …

The diffuse-domain, or smoothed boundary, method is an attractive approach for solving
partial differential equations in complex geometries because of its simplicity and flexibility. In …

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 …