Name
|
Meaning
|
Equation
|
---|
P2P
|
particle to particle
|
(1)
|
P2M
|
particle to multipole
|
(3c)
|
M2M
|
multipole to multipole
|
(3d)
|
M2P
|
multipole to particle
|
(3g)
|
M2L
|
multipole to local expansion
|
(3b)
|
P2L
|
particle to local expansion
|
see table legend
|
L2L
|
local expansion to local expansion
|
(3e)
|
L2P
|
local expansion to particle
|
(3f)
|
- The tree code replaces direct summation (P2P) with P2M-M2M-M2P, while FMM uses P2M-M2M-M2L-L2L-L2P, see also Figure 2. The P2L kernel corresponds to equation (3b) with and , i.e. .