Numerical Synthesis of Translation Operators for the Multi-Level Fast Multipole Method

2020 ◽  
Author(s):  
Arslan Azhar ◽  
Thomas F. Eibert
Keyword(s):  
Fast Multipole Method ◽  
Fast Multipole ◽  
Multipole Method ◽  
Translation Operators ◽  
Multi Level ◽  
Numerical Synthesis

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.

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