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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…