Borries, Oscar Peter3; Meincke, Peter4; Jorgensen, Erik4; Hansen, Per Christian1
1 Department of Applied Mathematics and Computer Science, Technical University of Denmark2 Scientific Computing, Department of Applied Mathematics and Computer Science, Technical University of Denmark3 Department of Informatics and Mathematical Modeling, Technical University of Denmark4 Department of Electrical Engineering, Technical University of Denmark
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.
Ieee Transactions on Antennas and Propagation, 2014, Vol 62, Issue 9, p. 4695-4705
Fast multipole method; Higher order basis functions; Integral equations