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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 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…