Multilevel Fast Multipole Method for Higher Order Discretizations

Multilevel Fast Multipole Method for Higher Order Discretizations

The multi-level fast multipole method (MLFMM) for a higher order (HO) discretization is demonstrated on high-frequency (HF) problems, illustrating for the first time how an efficient MLFMM for HO can be achieved even for very large groups. Applying several novel ideas, beneficial to both lower order...

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Veröffentlicht in:IEEE transactions on antennas and propagation 2014-09, Vol.62 (9), p.4695-4705
Hauptverfasser: Borries, Oscar, Meincke, Peter, Jorgensen, Erik, Hansen, Per Christian
Format: Artikel
Sprache:eng
Schlagworte:
Accuracy
Antennas
Discretization
Fast multipole method
Hafnium
High speed
higher order basis functions
Integral equations
Interpolation
Memory management
Multilevel
Multipoles
Octrees
Polynomials
Vectors
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Beschreibung
Zusammenfassung:The multi-level fast multipole method (MLFMM) for a higher order (HO) discretization is demonstrated on high-frequency (HF) problems, illustrating for the first time how an efficient MLFMM for HO can be achieved even for very large groups. Applying several novel ideas, beneficial to both lower order and higher order discretizations, results from a low-memory, high-speed MLFMM implementation of a HO hierarchical discretization are shown. These results challenge the general view that the benefits of HO and HF-MLFMM cannot be combined.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2014.2330582