Broadband Multilevel Fast Multipole Algorithm

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Current distribution on the surface of an aircraft.

Multilevel fast multipole algorithm (MLFMA) is an advanced algorithm that essentially reduces the solution time and memory consumption of the integral equation based formulations. It allows simulations of significantly larger problems with reduced computer resources. Our group has been developing a broadband version of MLFMA based on inhomogeneous planewave expansion that works efficiently for all discretization densities and on a very broad frequency range. The algorithm is applied both in acoustics and electromagnetics.

  • Radar cross section computations of large objects
  • Simulation of large antennas and antenna arrays

 

References

  • S. Järvenpää and J. Sarvas, Reducing the sample rate of radiation and incoming wave patterns in MLFMA, 2009 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, June 1-6, Charleston, SC USA.
  • H. Wallen, S. Järvenpää, P. Ylä-Oijala and J. Sarvas: Broadband Muller-MLFMA for electromagnetic scattering by dielectric objects, IEEE Transactions on Antennas and Propagation, 55(5), 1423-1430, 2007.
  • S. Järvenpää: Broadband multilevel fast multipole algorithm for locally refined meshes, Computational Electromagnetics Workshop, CEM'07, Izmir, Turkey, August 2007.
  • H. Wallen, S. Järvenpää and P. Ylä-Oijala: Broadband multilevel fast multipole algorithm for acoustic scattering problems, Journal of Computational Acoustics, 14(4), 507 - 526, 2006.

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