8 citations · 17 across the 10 of their papers we have counts for
14 papers
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…