Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
521815 | Journal of Computational Physics | 2009 | 15 Pages |
Abstract
The accurate and efficient computation of lattice sums for the three-dimensional Helmholtz equation is considered for the cases where the underlying lattice is one- or two-dimensional. We demonstrate, using careful numerical computations, that the reduction method, in which the sums for a two-dimensional lattice are expressed as a sum of one-dimensional lattice sums leads to an order-of-magnitude improvement in performance over the well-known Ewald method. In the process we clarify and improve on a number of results originally formulated by Twersky in the 1970s.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
C.M. Linton, I. Thompson,