1 citations · 1 across the 12 of their papers we have counts for
17 papers
Volume-Surface-Wire Integral Equations for EEG Source Imaging
Paolo Ricci, Maxime Monin, Alessandro Mascherin +2
In EEG source imaging, the precision of the imaging of the brain activity depends on the accuracy of the forward head model which is, in turn, affected by the representation of tis…
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…
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…
A Lumped RC Equivalent Circuit of Head Tissues for Dispersive Neuro-Electromagnetic Modeling
Angelo Faccia, Ermanno Citraro, Francesco P. Andriulli
Accurate modeling of electric potential and current distribution in head tissues is crucial for the design and evaluation of neuro-sensing and neuro-stimulation systems operating i…
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…
A Lumped-Element Electrical Model of the Human Head for Brain-Oriented Applications
Angelo Faccia, Ermanno Citraro, Francesco P. Andriulli
In this work, we present a compact surrogate circuit for electro-quasi-static (EQS) head modeling. A three-shell geometry (brain, skull, scalp) is considered, and each layer is mod…
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…
Spectral Analysis of Discretized Boundary Integral Operators in 3D: a High-Frequency Perspective
V. Giunzioni, A. Merlini, F. P. Andriulli
When modeling propagation and scattering phenomena using integral equations discretized by the boundary element method, it is common practice to approximate the boundary of the sca…
Limitations of Nyquist Criteria in the Discretization of 2D Electromagnetic Integral Equations at High Frequency: Spectral Insights into Pollution Effects
Viviana Giunzioni, Adrien Merlini, Francesco P. Andriulli
The use of boundary integral equations in modeling boundary value problems-such as elastic, acoustic, or electromagnetic ones-is well established in the literature and widespread i…
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 a High-Frequency Analysis of Some Relevant Integral Equations in Electromagnetics
V. Giunzioni, A. Merlini, F. P. Andriulli
In this contribution we analyze the spectral properties of some commonly used boundary integral operators in computational electromagnetics and of their discrete counterparts, high…
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…