A new spectral truncation method for filtering 3D EFIE integral operators is introduced using the spherical Hankel transform representation of the Green's function, supported by semi-analytical and numerical evidence on operator spectra.
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A preconditioning technique for the shifted Helmholtz operator stabilizes EFIE iterative solvers across multiple frequency and discretization regimes, enabling quasi-linear complexity.
This is an introductory review of the linear algebraic subproblems and contemporary solvers in variational data assimilation for geophysical applications.
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Spectral Filtering of 3D Integral Operators Using Modified Green's Functions
A new spectral truncation method for filtering 3D EFIE integral operators is introduced using the spherical Hankel transform representation of the Green's function, supported by semi-analytical and numerical evidence on operator spectra.
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High-Frequency Preconditioners for Electromagnetic Integral Equations Based on Helmholtz Regularizations
A preconditioning technique for the shifted Helmholtz operator stabilizes EFIE iterative solvers across multiple frequency and discretization regimes, enabling quasi-linear complexity.