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.
Numerische Mathematik86(4), 565–589 (2000)
4 Pith papers cite this work, alongside 848 external citations. Polarity classification is still indexing.
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A proxy-method direct solver for Helmholtz transmission problems with many inclusions compresses the linear system to O(ωD) size and runs in O(N^{1.5}) time using the PMCHWT formulation, outperforming Burton-Miller.
A preconditioning technique for the shifted Helmholtz operator stabilizes EFIE iterative solvers across multiple frequency and discretization regimes, enabling quasi-linear complexity.
Review chapter summarizing advances in parallel sparse direct solvers along communication reduction and data-sparse compression axes.
citing papers explorer
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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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An accelerated direct solver for scalar wave scattering by multiple transmissive inclusions in two dimensions
A proxy-method direct solver for Helmholtz transmission problems with many inclusions compresses the linear system to O(ωD) size and runs in O(N^{1.5}) time using the PMCHWT formulation, outperforming Burton-Miller.
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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.
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Parallel Sparse and Data-Sparse Factorization-based Linear Solvers
Review chapter summarizing advances in parallel sparse direct solvers along communication reduction and data-sparse compression axes.