8 citations · 23 across the 14 of their papers we have counts for
15 papers
On some Operator Filtering Strategies Based on Suitably Modified Green's Functions
Matteo E. Masciocchi, Ermanno Citraro, Alexandre Dély +3
Recent contributions showed the benefits of operator filtering for both preconditioning and fast solution strategies. While previous contributions leveraged laplacian-based filters…
Laplacian Filtered Loop-Star Decompositions and Quasi-Helmholtz Laplacian Filters: Definitions, Analysis, and Efficient Algorithms
Adrien Merlini, Clément Henry, Davide Consoli +3
Quasi-Helmholtz decompositions are fundamental tools in integral equation modeling of electromagnetic problems because of their ability of rescaling solenoidal and non-solenoidal c…
Fast Direct Solvers for Integral Equations at Low-Frequency Based on Operator Filtering
Clément Henry, Davide Consoli, Alexandre Dély +3
This paper focuses on fast direct solvers for integral equations in the low-to-moderate-frequency regime obtained by leveraging preconditioned first kind or second kind operators r…
On the Fast Direct Solution of a Preconditioned Electromagnetic Integral Equation
Davide Consoli, Clément Henry, Alexandre Dély +6
This work presents a fast direct solver strategy for electromagnetic integral equations in the high-frequency regime. The new scheme relies on a suitably preconditioned combined fi…
Laplacian Filters for Integral Equations: Further Developments and Fast Algorithms
Adrien Merlini, Clément Henry, Davide Consoli +2
This paper extends the concept of Laplacian filtered quasi-Helmholtz decompositions we have recently introduced, to the basis-free projector-based setting. This extension allows th…
On a Low-Frequency and Contrast Stabilized Full-Wave Volume Integral Equation Solver for Lossy Media
Clément Henry, Adrien Merlini, Lyes Rahmouni +1
In this paper we present a new regularized electric flux volume integral equation (D-VIE) for modeling high-contrast conductive dielectric objects in a broad frequency range. This…
A New Preconditioner for the EFIE Based on Primal and Dual Graph Laplacian Spectral Filters
Lyes Rahmouni, Francesco P. Andriulli
The Electric Field Integral Equation (EFIE) is notorious for its ill-conditioning both in frequency and h-refinement. Several techniques exist for fixing the equation conditioning…
Diffusion MRI Consistent Wire Models for Efficient Solutions of the Anisotropic Forward Problem in Electroencephalography
Maxime Y. Monin, Lyes Rahmouni, Francesco P. Andriulli
The surface Boundary Element Method (BEM) is one of the most commonly employed formulations to solve the forward problem in electroencephalography, but the applicability of its cla…
A Quasi-Helmholtz Projector Stabilized Full Wave Solver Encompassing the Eddy Current Regime
Tiffany L. Chhim, John E. Ortiz, Lyes Rahmouni +2
Despite its several qualities, the Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) formulation for simulating scattering by dielectric media suffers from numerical instabilities an…
A Hybrid Volume-Surface-Wire Integral Equation for the Anisotropic Forward Problem in Electroencephalography
Maxime Y. Monin, Lyes Rahmouni, Adrien Merlini +1
Solving the electroencephalography (EEG) forward problem is a fundamental step in a wide range of applications including biomedical imaging techniques based on inverse source local…
Symmetric Galerkin boundary element method for computing the quantum states of the electron in a piecewise-uniform mesoscopic system
Andrea Cagliero, Lyes Rahmouni
The quantum behavior of charge carriers in semiconductor structures is often described in terms of the effective mass Schrödinger equation, neglecting the rapid fluctuations of the…
Handling Anisotropic Conductivities in the EEG Forward Problem with a Symmetric Formulation
Axelle Pillain, Lyes Rahmouni, Francesco Andriulli
The electroencephalography (EEG) forward problem, the computation of the electric potential generated by a known electric current source configuration in the brain, is a key step o…
A Calderon Regularized Symmetric Formulation for the Electroencephalography Forward Problem
John E. Ortiz G., Axelle Pillain, Lyes Rahmouni +1
The symmetric formulation of the electroencephalography (EEG) forward problem is a well-known and widespread equation thanks to the high level of accuracy that it delivers. However…
On the modeling of brain fibers in the EEG forward problem via a new family of wire integral equations
Lyes Rahmouni, Adrien Merlini, Axelle Pillain +1
Source localization based on electroencephalography (EEG) has become a widely used neuroimagining technique. However its precision has been shown to be very dependent on how accura…
Conforming Discretizations of Boundary Element Solutions of the Electroencephalography Forward Problem
Lyes Rahmouni, Simon Adrian, Kristof Cools +1
In this paper we present a new discretization strategy for the boundary element formulation of the Electroencephalography (EEG) forward problem. Boundary integral formulations, cla…