کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
521815 | 867789 | 2009 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
One- and two-dimensional lattice sums for the three-dimensional Helmholtz equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: One- and two-dimensional lattice sums for the three-dimensional Helmholtz equation One- and two-dimensional lattice sums for the three-dimensional Helmholtz equation](/preview/png/521815.png)
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 228, Issue 6, 1 April 2009, Pages 1815–1829
Journal: Journal of Computational Physics - Volume 228, Issue 6, 1 April 2009, Pages 1815–1829
نویسندگان
C.M. Linton, I. Thompson,