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Broadband Multilevel Fast Multipole Algorithm Based on an Approximate Diagonalization of the Green's Function
Date
2015-07-01
Author
Ergül, Özgür Salih
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We present a broadband multilevel fast multipole algorithm (MLFMA) for fast and efficient solutions of three-dimensional multiscale problems involving large objects with dense discretizations. The proposed solver is based on the approximate diagonalization of the Green's function using scaled spherical and plane waves, leading to stable interaction computations for arbitrarily short distances in terms of wavelength. Despite contradictory requirements on the scaling factor that limit the accuracy of the diagonalization, the resulting low-frequency scheme is extremely stable and easy to plug into conventional MLFMA implementations by simply extending built-in tree structures, converting them into broadband solvers without needing dense programming efforts. Accuracy and efficiency of the broadband MLFMA are demonstrated on canonical problems, as well as on multiscale problems that cannot be solved efficiently via standard implementations of MLFMA.
Subject Keywords
Broadband solvers
,
Multiscale problems
,
Multilevel fast multipole algorithm (MLFMA)
,
Low-frequency breakdown
URI
https://hdl.handle.net/11511/45092
Journal
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
DOI
https://doi.org/10.1109/tap.2015.2421937
Collections
Department of Electrical and Electronics Engineering, Article
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Ö. S. Ergül, “Broadband Multilevel Fast Multipole Algorithm Based on an Approximate Diagonalization of the Green’s Function,”
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
, pp. 3035–3041, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/45092.