44 citations · 174 across the 34 of their papers we have counts for
35 papers
A Stable, Accurate, and Well-Conditioned Time-Domain PMCHWT Formulation
Van Chien Le, Cedric Münger, Francesco P. Andriulli +1
This paper introduces a new boundary element formulation for transient electromagnetic scattering by homogeneous dielectric objects, based on the time-domain PMCHWT equation. To ad…
A stabilized time-domain combined field integral equation using the quasi-Helmholtz projectors
Van Chien Le, Pierrick Cordel, Francesco P. Andriulli +1
This paper introduces a time-domain combined field integral equation for electromagnetic scattering by a perfect electric conductor. The new equation is obtained by leveraging the…
Linear-in-Complexity Computational Strategies for Modeling and Dosimetry at TeraHertz
Viviana Giunzioni, Giuseppe Ciacco, Clément Henry +2
This work presents a fast direct solver strategy allowing full-wave modeling and dosimetry at terahertz (THz) frequencies. The novel scheme leverages a preconditioned combined fiel…
High-order quasi-Helmholtz Projectors: Definition, Analyses, Algorithms
Johann Bourhis, Adrien Merlini, Francesco P. Andriulli
The accuracy of the electric field integral equation (EFIE) can be substantially improved using high-order discretizations. However, this equation suffers from ill-conditioning and…
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…
On a Calderón preconditioner for the symmetric formulation of the electroencephalography forward problem without barycentric refinements
Viviana Giunzioni, John E. Ortiz G., Adrien Merlini +2
We present a Calderón preconditioning scheme for the symmetric formulation of the forward electroencephalographic (EEG) problem that cures both the dense discretization and the hig…
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…
Stabilized Single Current Inverse Source Formulations Based on Steklov-Poincaré Mappings
Paolo Ricci, Ermanno Citraro, Adrien Merlini +1
The inverse source problem in electromagnetics has proved quite relevant for a large class of applications. In antenna diagnostics in particular, Love solutions are often sought at…
On a Constrained Pseudoinverse for the Electromagnetic Inverse Source Problem
Ermanno Citraro, Alexandre Dély, Adrien Merlini +1
Inverse source approaches have shown their relevance for several applications in the past years. They rely on the solution of an ill-posed problem where near-field/current data is…
Brain-Computer Interfaces: Investigating the Transition from Visually Evoked to Purely Imagined Steady-State Potentials
Arturo Micheli, Davide Consoli, Adrien Merlini +2
Brain-Computer Interfaces (BCIs) based on Steady State Visually Evoked Potentials (SSVEPs) have proven effective and provide significant accuracy and information-transfer rates. Th…
A New Refinement-Free Preconditioner for the Symmetric Formulation in Electroencephalography
Viviana Giunzioni, John E. Ortiz G., Adrien Merlini +2
Widely employed for the accurate solution of the electroencephalography forward problem, the symmetric formulation gives rise to a first kind, ill-conditioned operator ill-suited f…
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…
On a Fast Solution Strategy for a Surface-Wire Integral Formulation of the Anisotropic Forward Problem in Electroencephalography
Carlo Baronio, Giulio Cosentino, Paolo Ricci +4
This work focuses on a quasi-linear-in-complexity strategy for a hybrid surface-wire integral equation solver for the electroencephalography forward problem. The scheme exploits a…
On a Frequency-Stabilized Single Current Inverse Source Formulation
Paolo Ricci, Adrien Merlini, Francesco P. Andriulli
Several strategies are available for solving the inverse source problem in electromagnetics. Among them, many have been focusing in retrieving Love currents by solving, after regul…
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…
Calderón Preconditioners for the TD-EFIE discretized with Convolution Quadratures
Pierrick Cordel, Alexandre Dély, Adrien Merlini +1
This work focuses on the preconditioning and DC stabilization of the time domain electric field integral equation discretized in time with the convolution quadrature method. The st…
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…
Large Time Step and DC Stable TD-EFIE Discretized with Implicit Runge-Kutta Methods
Alexandre Dély, Francesco P. Andriulli, Kristof Cools
The Time Domain-Electric Field Integral Equation (TD-EFIE) and its differentiated version are widely used to simulate the transient scattering of a time dependent electromagnetic f…
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…
On Preconditioning Electromagnetic Integral Equations in the High Frequency Regime via Helmholtz Operators and quasi-Helmholtz Projectors
Alexandre Dély, Adrien Merlini, Simon B. Adrian +1
Fast and accurate resolution of electromagnetic problems via the \ac{BEM} is oftentimes challenged by conditioning issues occurring in three distinct regimes: (i) when the frequenc…
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…