Integral equation formulations are a competitive strategy in computational electromagnetics
but, lamentably, are often plagued by ill-conditioning and by related numerical instabilities …

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 …

This paper proposes a novel generalized n th order perturbation isogeometric fast multipole
boundary element method for time harmonic wave propagation in infinite domains. The non …

Up to now, the isogeometric boundary element method (IGBEM) has been widely applied in
different fields, and the solved problems are basically independent of time. But an excellent …

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

In the absence of analytical solutions for the dynamics of non-spherical cavitation bubbles,
we have implemented a numerical simulation solver based on the boundary integral method …

In this paper, we study the construction of quadrature rules for the approximation of
hypersingular integrals that occur when 2D Neumann or mixed Laplace problems are …

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 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 …

This contribution investigates the connection between isogeometric analysis (IgA) and the
partial element equivalent circuit (PEEC) method for electrostatic problems. We demonstrate …