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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Andriulli, F.P. Vecchi, G. |
| Copyright Year | 2009 |
| Abstract | This paper presents a new fast matrix-vector multiplication scheme for the solution of the Electric Field Integral Equation. Similarly to other fast methods, our approach reduces the matrix-vector multiplication cost from $O(N^{2})$ to O(N logN). Differently from other fast solvers, however, the effectiveness of EFIE preconditioning techniques such as quasi-Helmholtz decompositions or Calder´on approaches is maintained by our method even for very high matrix compression rates. This is thanks to the fact that, in the scheme we are proposing, the contribution from the scalar potential when applied to or tested with solenoidal functions is always zero independent of the compression error. In addition, the new method will take advantage of the redundancies of the EFIE matrix in the low-frequency/dense discretization regime, and it will further decrease both the memory storage and the multiplication cost with respect to currently available fast solvers. Numerical results will show the effectiveness of our approach and its impact on the solution of realistic problems. |
| File Size | 516519 |
| File Format | |
| ISBN | 9781424433858 |
| DOI | 10.1109/ICEAA.2009.5297322 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2009-09-14 |
| Publisher Place | Italy |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Fading Electric breakdown Integral equations Redundancy Scattering Approximation algorithms Cost function Performance analysis Matrix decomposition Testing |
| Content Type | Text |
| Resource Type | Article |
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