A concave FE-BI-MLFMA for scattering by a large body with nonuniform deep cavities

Ming Lin Yang, Xin Qing Sheng*, Xiao Min Pan, Wei Chao Pi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

A concave finite element-boundary integral-multilevel fast multipole algorithm (FE-BI-MLFMA) is presented for scattering by a large body with nonuniform deep cavities. Different from the conventional FE-BI-MLFMA, the boundary integral equation in this concave FE-BI-MLFMA is established on a concave surface to reduce the region of the finite element method (FEM), which can significantly reduce the dispersion error from the FEM and improve the efficiency of FE-BI-MLFMA especially for nonuniform cavities. To eliminate the problem of slow convergence caused by concave surface, an efficient preconditioner based on the sparse approximate inverse (SAI) is constructed in this paper. Numerical performance of the constructed preconditioner based on the SAI is investigated in detail. Numerical experiments demonstrate the accuracy and efficiency of this SAI preconditioned concave FE-BI-MLFMA for nonuniform deep and large cavites. This SAI preconditioned concave FE-BI-MLFMA is parallelized to further improve its capability in this paper. An extremely big and deep nonuniform cavity has been calculated, demonstrating the great capability of this parallel concave FE-BI-MLFMA.

Original languageEnglish
Article number6136778
Pages (from-to)687-690
Number of pages4
JournalIEEE Transactions on Magnetics
Volume48
Issue number2
DOIs
Publication statusPublished - Feb 2012

Keywords

  • Electromagnetic scattering
  • SAI preconditioner
  • concave
  • higher-order FE-BI-MLFMA

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