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Tucker tensor method for fast grid-based summation of long-range potentials on 3D lattices with defects
[article]
2015
arXiv
pre-print
In this paper, we present a method for fast summation of long-range potentials on 3D lattices with multiple defects and having non-rectangular geometries, based on rank-structured tensor representations. This is a significant generalization of our recent technique for the grid-based summation of electrostatic potentials on the rectangular L× L × L lattices by using the canonical tensor decompositions and yielding the O(L) computational complexity instead of O(L^3) by traditional approaches. The
arXiv:1411.1994v2
fatcat:aj4xjj6n3jfwhb56aa33yu5awu