Translation operators based on Gaussian beams for the fast multipole method in two dimensions

Wave Motion ◽  
2013 ◽  
Vol 50 (4) ◽  
pp. 793-808 ◽  
Author(s):  
Thorkild B. Hansen
Keyword(s):  
Fast Multipole Method ◽  
Two Dimensions ◽  
Gaussian Beams ◽  
Fast Multipole ◽  
Multipole Method ◽  
Translation Operators

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 rigorous comparison of the Ewald method and the fast multipole method in two dimensions

1995 ◽  
Vol 87 (3) ◽  
pp. 307-318 ◽  
Author(s):  
Dorthe Sølvason ◽  
Jiří Kolafa ◽  
Henrik G. Petersen ◽  
John W. Perram
Keyword(s):  
Fast Multipole Method ◽  
Two Dimensions ◽  
Fast Multipole ◽  
Ewald Method ◽  
Multipole Method

scholarly journals A Fast Multipole Method for Higher Order Vortex Panels in Two Dimensions

2005 ◽  
Vol 26 (5) ◽  
pp. 1620-1642 ◽  
Author(s):  
Prabhu Ramachandran ◽  
S. C. Rajan ◽  
M. Ramakrishna
Keyword(s):  
Fast Multipole Method ◽  
Higher Order ◽  
Two Dimensions ◽  
Fast Multipole ◽  
Multipole Method
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