activity
20192023
most citedOn Preconditioning Electromagnetic Integral Equations in the High Frequency Regime via Helmholtz Operators and quasi-Helmholtz Projectors

4 citations · 5 across the 11 of their papers we have counts for

collaborators

14 papers

math.NA2023

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…

math.NA2022

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…

math.NA2022

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…

math.NA2022

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…

eess.SP2022

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…

math.NA2022

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…