Derives three-term singularity asymptotics for surface-sourced Neumann Green's function and implements high-order BIE with Duffy patches to compute the regular part on arbitrary smooth surfaces, validated on spheres and spheroids.
Fast multipole methods for the evaluation of layer potentials with locally-corrected quadratures
2 Pith papers cite this work. Polarity classification is still indexing.
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math.NA 2years
2026 2representative citing papers
DMK extended to rectangular cuboids with arbitrary periodicity via localized octree evaluations on cubical tilings and Fourier-space root-level summation with truncated kernels for reduced periodicity.
citing papers explorer
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The three dimensional Neumann Green's function for general surfaces: singular asymptotics and boundary integral methods
Derives three-term singularity asymptotics for surface-sourced Neumann Green's function and implements high-order BIE with Duffy patches to compute the regular part on arbitrary smooth surfaces, validated on spheres and spheroids.
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Fast summation on rectangular cuboids with arbitrary periodicity in the DMK framework
DMK extended to rectangular cuboids with arbitrary periodicity via localized octree evaluations on cubical tilings and Fourier-space root-level summation with truncated kernels for reduced periodicity.