A low-frequency stable, excitation agnostic discretization of the right-hand side for the electric field integral equation on multiply-connected geometries
In order to accurately compute scattered and radiated fields in the presence of arbitrary
excitations, a low-frequency stable discretization of the right-hand side (RHS) of a quasi …
excitations, a low-frequency stable discretization of the right-hand side (RHS) of a quasi …
An excitation-aware and self-adaptive frequency normalization for low-frequency stabilized electric field integral equation formulations
The accurate solution of quasi-Helmholtz decomposed electric field integral equations
(EFIEs) in the presence of arbitrary excitations is addressed: Depending on the specific …
(EFIEs) in the presence of arbitrary excitations is addressed: Depending on the specific …
Magnetic and combined field integral equations based on the quasi-Helmholtz projectors
Boundary integral equation methods for analyzing electromagnetic scattering phenomena
typically suffer from several of the following shortcomings: 1) ill-conditioning when the …
typically suffer from several of the following shortcomings: 1) ill-conditioning when the …
A DC stable and large-time step well-balanced TD-EFIE based on quasi-Helmholtz projectors
The marching-on-in-time (MOT) solution of the time-domain electric field integral equation
(TD-EFIE) has traditionally suffered from a number of issues, including the emergence of …
(TD-EFIE) has traditionally suffered from a number of issues, including the emergence of …
An accurate low-order discretization scheme for the identity operator in the magnetic field and combined field integral equations
J Kornprobst, TF Eibert - IEEE Transactions on Antennas and …, 2018 - ieeexplore.ieee.org
A new low-order discretization scheme for the identity operator in the magnetic field integral
equation (MFIE) is discussed. Its concept is derived from the weak-form representation of …
equation (MFIE) is discussed. Its concept is derived from the weak-form representation of …
Low-frequency-stabilized electric field integral equation on topologically non-trivial geometries for arbitrary excitations
The low-frequency preconditioned electric field integral equation (EFIE) based on quasi-
Helmholtz decompositions is widely used to determine the radiated or scattered field by a …
Helmholtz decompositions is widely used to determine the radiated or scattered field by a …
A Calderón multiplicative preconditioner for the electromagnetic Poincaré–Steklov operator of a heterogeneous domain with scattering applications
D Dobbelaere, D De Zutter, J Van Hese, J Sercu… - Journal of …, 2015 - Elsevier
In the context of hybrid formulations, the Poincaré–Steklov operator acting on traces of
solutions to the vector Helmholtz equation in a heterogeneous interior domain with a smooth …
solutions to the vector Helmholtz equation in a heterogeneous interior domain with a smooth …
A multitrace surface integral equation method for PEC/dielectric composite objects
The multitrace domain decomposition surface integral equation (MT-DD-SIE) originally
developed to analyze electromagnetic scattering from dielectric composite objects is …
developed to analyze electromagnetic scattering from dielectric composite objects is …
On a low-frequency and refinement stable PMCHWT integral equation leveraging the quasi-Helmholtz projectors
Classical Poggio-Miller-Chan-Harrington-Wu-Tsai (PMCHWT) formulations for modeling
radiation and scattering from penetrable objects suffer from ill-conditioning when the …
radiation and scattering from penetrable objects suffer from ill-conditioning when the …
Low-frequency stable discretization of the electric field integral equation based on Poincaré's lemma
Integral equations become inaccurate in the low-frequency regime not only due to a low-
frequency breakdown (ie, growth of the condition number), but also due to catastrophic …
frequency breakdown (ie, growth of the condition number), but also due to catastrophic …