It was demonstrated that the elementary 3-dimensional dislocation segment was mathematically equivalent to 10 electrostatic charges and that the elastic interactions between such segments could therefore be computed within O(N) operations via 10-fold applications of the fast multipole method.

Towards Rapid Evaluation of the Elastic Interactions among Three-Dimensional Dislocations. G.J.Rodin: Philosophical Magazine Letters, 1998, 77[4], 187-90