A diagonalized multilevel fast multipole method with spherical harmonics expansion of the k-space Integrals

@article{Eibert2005ADM,
  title={A diagonalized multilevel fast multipole method with spherical harmonics expansion of the k-space Integrals},
  author={T. F. Eibert},
  journal={IEEE Transactions on Antennas and Propagation},
  year={2005},
  volume={53},
  pages={814-817}
}
  • T. F. Eibert
  • Published 2005 in IEEE Transactions on Antennas and Propagation
Diagonalization of the fast multipole method (FMM) for the Helmholtz equation is usually achieved by expanding the multipole representation in propagating plane waves. The resulting k-space integral over the Ewald sphere is numerically evaluated. Storing the k-space quadrature samples of the method of moments (MoM) basis functions constitutes a large portion of the overall memory requirements of the resulting algorithm for solving the integral equations of scattering and radiation problems. In… CONTINUE READING
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