An efficient blocking M2L translation for low-frequency fast multipole method in three dimensions

2016 ◽  
Vol 202 ◽  
pp. 151-164 ◽  
Author(s):  
Toru Takahashi ◽  
Yuta Shimba ◽  
Hiroshi Isakari ◽  
Toshiro Matsumoto
Keyword(s):  
Fast Multipole Method ◽  
Low Frequency ◽  
Three Dimensions ◽  
Fast Multipole ◽  
Multipole Method

A new version of the Fast Multipole Method for the Laplace equation in three dimensions

Acta Numerica ◽  
1997 ◽  
Vol 6 ◽  
pp. 229-269 ◽  
Author(s):  
Leslie Greengard ◽  
Vladimir Rokhlin
Keyword(s):  
Laplace Equation ◽  
Fast Multipole Method ◽  
High Accuracy ◽  
Three Dimensions ◽  
Potential Fields ◽  
Diagonal Form ◽  
Fast Multipole ◽  
Reasonable Cost ◽  
Multipole Method ◽  
Translation Operators

We introduce a new version of the Fast Multipole Method for the evaluation of potential fields in three dimensions. It is based on a new diagonal form for translation operators and yields high accuracy at a reasonable cost.

A wideband fast multipole method for the Helmholtz equation in three dimensions

2006 ◽  
Vol 216 (1) ◽  
pp. 300-325 ◽  
Author(s):  
Hongwei Cheng ◽  
William Y. Crutchfield ◽  
Zydrunas Gimbutas ◽  
Leslie F. Greengard ◽  
J. Frank Ethridge ◽  
...  
Keyword(s):  
Helmholtz Equation ◽  
Fast Multipole Method ◽  
Three Dimensions ◽  
Fast Multipole ◽  
Multipole Method

Implementing the fast multipole method in three dimensions

1991 ◽  
Vol 63 (5-6) ◽  
pp. 1223-1235 ◽  
Author(s):  
K. E. Schmidt ◽  
Michael A. Lee
Keyword(s):  
Fast Multipole Method ◽  
Three Dimensions ◽  
Fast Multipole ◽  
Multipole Method
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