8 citations · 23 across the 14 of their papers we have counts for
5 papers · 1 filter
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…
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…