Multipole Ewald sums for the fast multipole method

被引:12
|
作者
Schmidt, KE [1 ]
Lee, MA [1 ]
机构
[1] KENT STATE UNIV,DEPT PHYS,KENT,OH 44242
关键词
fast multipole method; Ewald sum; N-body problem;
D O I
10.1007/BF02770773
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A generalized Ewald summation for electric multipoles in periodic arrays is presented in the form needed for multipole transformations used in the fast multipole method. In the fast multipole method the time-consuming Ewald sums are thus eliminated in favor of a simple matrix transformation with almost no computational cost. The derivation also applies to traditional electrostatic potential calculations in periodic charged systems. A summary computational prescription is provided.
引用
收藏
页码:411 / 424
页数:14
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