5 papers · 1 filter
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…
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…
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…