Introduces an Ewald-free BIE framework for periodic Stokes flow using hierarchical proxy sums that achieves O(N) cost and high-order accuracy for systems with millions of degrees of freedom.
Flexibly imposing periodicity in kernel independent FMM: A multipole-to-local operator approach.Journal of Computational Physics, 355:214–232, 2018
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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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A scalable Ewald-free BIE framework for periodic Stokes flow via hierarchical proxy sums
Introduces an Ewald-free BIE framework for periodic Stokes flow using hierarchical proxy sums that achieves O(N) cost and high-order accuracy for systems with millions of degrees of freedom.
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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.