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An Explicit Higher-Order Dual Basis for a Multiplicatively Calderón Preconditioned Electric Field Integral Equation
Bernd Hofmann, Thomas F. Eibert, Francesco P. Andriulli +1
One of the most effective means to precondition the electric field integral equation (EFIE) discretized with Rao-Wilton-Glisson (RWG) functions is the multiplicative Calderón preco…
Asymptotic Spectral Insights Behind Fast Direct Solvers for High-Frequency Electromagnetic Integral Equations on Non-Canonical Geometries
V. Giunzioni, C. Henry, A. Merlini +1
Integral-equation-based fast direct solvers for electromagnetic scattering can substantially reduce computational costs, especially in the presence of multiple excitations. We rece…
Interpreting Moment Matrix Blocks Spectra using Mutual Shadow Area
Yaniv Brick, Francesco P. Andriulli, Mats Gustafsson
The mutual shadow area of pairs of surface regions is used for guiding the study of the spectral components and rank of their wave interaction, as captured by the corresponding mom…
A High-Order Discretization Scheme for Surface Integral Equations for Analyzing the Electroencephalography Forward Problem
Rui Chen, Viviana Giunzioni, Adrien Merlini +1
A Nystrom-based high-order (HO) discretization scheme for surface integral equations (SIEs) for analyzing the electroencephalography (EEG) forward problem is proposed in this work.…
On the Late-Time Instability of MOT solution to the Time-Domain PMCHWT Equation
Van Chien Le, Viviana Giunzioni, Pierrick Cordel +2
This paper investigates the late-time instability of marching-on-in-time solution to the time-domain PMCHWT equation. The stability analysis identifies the static solenoidal nullsp…
Low-Frequency Stabilizations of the PMCHWT Equation for Dielectric and Conductive Media: On a Full-Wave Alternative to Eddy-Current Solvers
V. Giunzioni, A. Scazzola, A. Merlini +1
We propose here a novel stabilization strategy for the PMCHWT equation that cures its frequency and conductivity related instabilities and is obtained by leveraging quasi-Helmholtz…
On the Computation of Square Roots and Inverse Square Roots of Gram Matrices for Surface Integral Equations in Electromagnetics
Rui Chen, Adrien Merlini, Francesco P. Andriulli
Surface integral equations (SIEs)-based boundary element methods are widely used for analyzing electromagnetic scattering scenarii. However, after discretization of SIEs, the spect…
Calderón Strategies for the Convolution Quadrature Time Domain Electric Field Integral Equation
Pierrick Cordel, Alexandre Dély, Adrien Merlini +1
In this work, we introduce new integral formulations based on the convolution quadrature method for the time-domain modeling of perfectly electrically conducting scatterers that ov…