Singularity in Green's function and its numerical evaluation

@inproceedings{Lee1980SingularityIG,
  title={Singularity in Green's function and its numerical evaluation},
  author={Shung-wu Lee and J Joop Boersma and Chak-Lam Law and Georges A. Deschamps},
  year={1980}
}
The free-space scalar Green's function g has an R^{-1} singularity, where R is the distance between the source and observation points. The second derivatives of g have R^{-3} singularities, which are not generally integrable over a volume. The derivatives of g are treated as generalized functions in the manner described by Gel'fand and Shilov, and a new formula is derived that regularizes a divergent convolution integral involving the second derivatives of g . When the formula is used in the… CONTINUE READING

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