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.
Journal of Computational Physics205, 1–23 (2005)
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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 hierarchical direct solver for QBX-discretized boundary integral equations using HSS matrices, proxy-based far-field approximations, and ID compression with an error model for automatic parameter selection.
citing papers explorer
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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.
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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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A Fast Direct Solver for Boundary Integral Equations Using Quadrature By Expansion
A hierarchical direct solver for QBX-discretized boundary integral equations using HSS matrices, proxy-based far-field approximations, and ID compression with an error model for automatic parameter selection.