The eigenmodes of resonating structures, eg, electromagnetic cavities, are sensitive to
deformations of their shape. In order to compute the sensitivities of the eigenpair with …

We analyze a new approach to three-dimensional electromagnetic scattering problems via
fast isogeometric boundary element methods. Starting with an investigation of the theoretical …

The simulation of electromagnetic devices with complex geometries and large-scale discrete
systems benefits from advanced computational methods like IsoGeometric Analysis and …

In this article, we present Bembel, the C++ library featuring higher order isogeometric
Galerkin boundary element methods for Laplace, Helmholtz, and Maxwell problems. Bembel …

On general regular simplicial partitions T of bounded polytopal domains Ω⊂ R d, d∈{2, 3},
we construct exact neural network (NN) emulations of all lowest order finite element spaces …

When applying isogeometric analysis to engineering problems, one often deals with multi-
patch spline spaces that have incompatible discretisations, eg in the case of moving objects …

We study the numerical solution of forward and inverse time-harmonic acoustic scattering
problems by randomly shaped obstacles in three-dimensional space using a fast …

We present a framework for the structure-preserving approximation of partial differential
equations on mapped multipatch domains, extending the classical theory of finite element …

We solve acoustic scattering problems by means of the isogeometric boundary integral
equation method. In order to avoid spurious modes, we apply the combined field integral …

We discuss numerical experiments to compare an isogeometric discretization of the electric
field integral equation and a parametric Raviart-Thomas approach. Therein, we focus on …