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A Hybrid Broadband Fast Multipole Algorithm | IEEE Conference Publication | IEEE Xplore

A Hybrid Broadband Fast Multipole Algorithm


Abstract:

A broadband fast multipole algorithm (FMA) is proposed using a hybridization of the plane wave and multipole expansions of the Green's function. By representing the low o...Show More

Abstract:

A broadband fast multipole algorithm (FMA) is proposed using a hybridization of the plane wave and multipole expansions of the Green's function. By representing the low order harmonics using the plane wave expansion and representing the high order harmonics using the multipole expansion, the proposed method is accurate at all frequencies. The error analysis is performed to achieve arbitrarily high accuracies. The method can be regarded as a unification of the conventional dense and diagonal FMAs. Numerical examples are presented to demonstrate the accuracy of the method.
Date of Conference: 08-13 July 2018
Date Added to IEEE Xplore: 13 January 2019
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Conference Location: Boston, MA, USA

References

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