New identities for fundamental solutions and their applications to non-singular boundary element formulations

@inproceedings{Liu1999NewIF,
  title={New identities for fundamental solutions and their applications to non-singular boundary element formulations},
  author={Y. Jane Liu and Thomas J. Rudolphi},
  year={1999}
}
Based on a general, operational approach, two new integral identities for the fundamental solutions of the potential and elastostatic problems are established in this paper. Non-singular forms of the conventional boundary integral equations (BIEs) are derived by employing these two identities for the fundamental solutions and the twoterm subtraction technique. Both the strongly(Cauchy type) and weakly-singular integrals existing in the conventional BIEs are removed from the BIE formulations… CONTINUE READING
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