8 papers
Spectral Filtering of 3D Integral Operators Using Modified Green's Functions
Alessandro Bellusci, Viviana Giunzioni, Adrien Merlini +1
Several recent contributions have analyzed and illustrated the effectiveness of operator filtering, both in terms of regularization and compression, when handling dense matrices ar…
A Numerical Approach to Operator Filtering within the Adaptive Integral Method for Electromagnetic Integral Equations
Tommaso Pignatelli, Viviana Giunzioni, Paolo Ricci +3
Operator filtering allows for the regularization and compression of dense integral operators, effectively mitigating the memory and computational costs associated with iterative so…
High-Frequency Preconditioners for Electromagnetic Integral Equations Based on Helmholtz Regularizations
S. Ciciriello, V. Giunzioni, A. Dély +3
The numerical solution of the Electric Field Integral Equation (EFIE) via the Boundary Element Method (BEM) can be computationally challenging due to conditioning issues arising in…
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…
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…