Diagonal Forms of Translation Operators for the Helmholtz Equation in Three Dimensions

1992 ◽  
Author(s):  
V. Rokhlin
Keyword(s):  
Helmholtz Equation ◽  
Three Dimensions ◽  
Diagonal Forms ◽  
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.

scholarly journals Reconstruction of the electric field of the Helmholtz equation in three dimensions

2017 ◽  
Vol 309 ◽  
pp. 56-78 ◽  
Author(s):  
Nguyen Huy Tuan ◽  
Vo Anh Khoa ◽  
Mach Nguyet Minh ◽  
Thanh Tran
Keyword(s):  
Electric Field ◽  
Helmholtz Equation ◽  
Three Dimensions

Generalization of the Barnes-Hut algorithm for the Helmholtz equation in three dimensions

2009 ◽  
Vol 8 ◽  
pp. 425-428 ◽  
Author(s):  
J. Aronsson ◽  
I. Jeffrey ◽  
V. Okhmatovski
Keyword(s):  
Helmholtz Equation ◽  
Three Dimensions

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
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