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On a low-frequency and refinement stable PMCHWT integral equation leveraging the quasi-Helmholtz projectors (2017)
Journal Article
Beghein, Y., Mitharwal, R., Cools, K., & Andriulli, F. P. (in press). On a low-frequency and refinement stable PMCHWT integral equation leveraging the quasi-Helmholtz projectors. IEEE Transactions on Antennas and Propagation, doi:10.1109/TAP.2017.2738061. ISSN 0018-926X

Classical Poggio-Miller-Chan-Harrington-Wu-Tsai (PMCHWT) formulations for modeling radiation and scattering from penetrable objects suffer from ill-conditioning when the frequency is low or when the mesh density is high. The most effective techniques... Read More

Mixed discretization of the time-domain MFIE at low frequencies (2017)
Journal Article
Ulku, H. A., Bogaert, I., Cools, K., Andriulli, F. P., & Bagci, H. (2017). Mixed discretization of the time-domain MFIE at low frequencies. IEEE Antennas and Wireless Propagation Letters, 16, doi:10.1109/LAWP.2017.2651045. ISSN 1536-1225

Solution of the magnetic field integral equation, which is obtained by the classical marching-on-in-time (MOT) scheme, becomes inaccurate when the time-step is large, i.e., under low-frequency excitation. It is shown here that the inaccuracy stems fr... Read More

An impedance boundary condition EFIE that is low-frequency and refinement stable (2017)
Journal Article
Dely, A., Andriulli, F. P., & Cools, K. (2017). An impedance boundary condition EFIE that is low-frequency and refinement stable. IEEE Transactions on Antennas and Propagation, 65(3), doi:10.1109/TAP.2016.2647684. ISSN 0018-926X

A discretization of the impedance boundary condition electric field integral equation (IBC-EFIE) is introduced that: 1) yields the correct solution at arbitrarily small frequencies and 2) requires for its solution a number of matrix vector products b... Read More

A hybrid Boundary Element Unstructured Transmission-line (BEUT) method for accurate 2D electromagnetic simulation (2016)
Journal Article
Simmons, D., Cools, K., & Sewell, P. (in press). A hybrid Boundary Element Unstructured Transmission-line (BEUT) method for accurate 2D electromagnetic simulation. Journal of Computational Physics, 324, doi:10.1016/j.jcp.2016.08.002. ISSN 0021-9991

Time domain electromagnetic simulation tools have the ability to model transient, wide-band applications, and non-linear problems. The Boundary Element Method (BEM) and the Transmission Line Modeling (TLM) method are both well established numerical t... Read More

Modelling antennas in outer space using the boundary element unstructured transmission-line (BEUT) method
Conference Proceeding
Simmons, D., Cools, K., & Sewell, P. (2015). Modelling antennas in outer space using the boundary element unstructured transmission-line (BEUT) method

In this paper the hybridization of the 2D time domain boundary element method (BEM) with the unstructured transmission line method (UTLM) is described. The novel method enables accurate modelling of radiating boundary conditions, excitation by plane... Read More