## Abstract In this article, a new method called fast directional multilevel algorithm (FDMA) is proposed for three‐dimensional electromagnetic problems. Combined with the Caldron identities of Calderon multiplicative preconditioner (CMP), the new algorithm has a fast convergence rate of iterative
A fast directional algorithm for high-frequency electromagnetic scattering
✍ Scribed by Paul Tsuji; Lexing Ying
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 1002 KB
- Volume
- 230
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
This paper is concerned with the fast solution of high-frequency electromagnetic scattering problems using the boundary integral formulation. We extend the O(N log N) directional multilevel algorithm previously proposed for the acoustic scattering case to the vector electromagnetic case. We also detail how to incorporate the curl operator of the magnetic field integral equation into the algorithm. When combined with a standard iterative method, this results in an almost linear complexity solver for the combined field integral equations. In addition, the butterfly algorithm is utilized to compute the far field pattern and radar cross section with O(N log N) complexity.
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