Journal article
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 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.
| Language: | English |
|---|---|
| Publisher: | IEEE |
| Year: | 2014 |
| Pages: | 4695-4705 |
| ISSN: | 15582221 and 0018926x |
| Types: | Journal article |
| DOI: | 10.1109/TAP.2014.2330582 |
| ORCIDs: | Hansen, Per Christian |
Accuracy HO hierarchical discretization Interpolation Memory management Octrees Polynomials Vectors electromagnetic scattering problem electromagnetic wave scattering high-frequency problems high-speed MLFMM implementation higher order basis functions higher order discretizations integral equations multilevel fast multipole method
