Multilevel Fast Multipole Method for Higher Order Discretizations

Oscar Peter Borries, Peter Meincke, Erik Jorgensen, Per Christian Hansen

Research output: Contribution to journalJournal articleResearchpeer-review


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.
Original languageEnglish
JournalIEEE Transactions on Antennas and Propagation
Issue number9
Pages (from-to)4695-4705
Publication statusPublished - 2014


  • Fast multipole method
  • Higher order basis functions
  • Integral equations


Dive into the research topics of 'Multilevel Fast Multipole Method for Higher Order Discretizations'. Together they form a unique fingerprint.

Cite this