O(N) algorithm for dislocation dynamics

@inproceedings{Wang1995ONAF,
  title={O(N) algorithm for dislocation dynamics},
  author={Hui Ying Wang and Richard Alan Lesar},
  year={1995}
}
Abstract We present an extension of the fast-multipole method of Greengard and Rokhlin to the case of the long-range interactions between parallel edge (in arbitrary orientations) and screw dislocations. By finding complex potentials from which the stress terms can be calculated, and expanding those potentials in multipole series, we convert a computationally difficult O(N 2) problem into a much faster O(N) approach. To reach sufficient numerical accuracy, only a few terms are needed in the… CONTINUE READING

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