We briefly describe the usage of formulae presented here in each step
in the algorithm of FM-BIEM (See chapter 2 for more details).
Steps 1-2. Same as the steps 1-2 in the algorithm
described in chapter 2.
Step 3. Computation of the multipole moments:
In this step we use (3.147) and (3.148) for
the computation of the multipole moments associated with
leaves. Also, we use (3.149) and
(3.150) for M2M translations tracing the tree
structure of cells upward (decreasing ).
Step 4. Computation of the local expansion:
In this step we use (3.152) and (3.153)
for M2L translations and (3.154) and
(3.155) for L2L translations tracing the tree
structure of cells downward (increasing ).
Step 5. Evaluation of the integral in (3.118):
In this step we use (3.119)
for the direct computation and use
(3.130) for the evaluation of
contributions from the local expansion.