## Abstract

FISC (Fast Illinois Solver Code), co-developed by the Center for Computational Electromagnetics, University of Illinois, and DEMACO, is designed to compute the RCS of a target described by a triangular-facet file. The problem is formulated using the Method of Moments (MoM), where the Rao, Wilton, and Glisson basis functions are used. The resultant matrix equation is solved iteratively by the Conjugate Gradient (CG) method. The Multilevel Fast Multipole algorithm (MLFMA) is used to speed up the matrix-vector multiply in the CG method. The complexities for both the CPU time per iteration and the memory requirements are of O(N log N), where N is the number of unknowns. A 2.4-million unknown problem is solved in a few hours on the SGI CRAY Origin 2000 at NCSA of the University of Illinois at Urbana-Champaign.

Original language | English |
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Pages (from-to) | 27-33 |

Number of pages | 7 |

Journal | IEEE Antennas and Propagation Magazine |

Volume | 40 |

Issue number | 3 |

DOIs | |

State | Published - Jun 1998 |

### Bibliographical note

Funding Information:This work was supported by AFOSR, under MURI grant F49620-96-1-0025; the Office of Naval Research, under grant N00014-95-1-0872; and the National Science Foundation, under grant NSF ECS 93-02145. The computer time was provided by the National Center for Supercomputing Applications (NCSA) at the University of Illinois at Urbana-Champaign, and the ASC MSRC.

## Keywords

- Electromagnetic scattering
- Fast multipole
- Integral equations
- Method of Moments
- Multilevel algorithm
- Radar cross sections

## ASJC Scopus subject areas

- Condensed Matter Physics
- Electrical and Electronic Engineering