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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Andriulli, F.P. Valdés, F. Cools, K. Michielssen, E. |
| Copyright Year | 2010 |
| Description | Author affiliation: Politecnico di Torino (Andriulli, F.P.) || University of Michigan (Valdés, F.; Michielssen, E.) || Ghent University (Cools, K.) |
| Abstract | Among all integral equations pertinent to the analysis of scattering from three-dimensional perfect electrically conducting surfaces, the Electric Field Integral Equation (EFIE) remains the most widely used. Unfortunately, the EFIE operator is ill-posed as its eigenvalues accumulate at zero and infinity. For this reason, the linear system matrix that results upon discretization of the EFIE using boundary elements is highly ill-conditioned whenever the surface mesh is dense. The need for dense surface discretizations commonly arises when analyzing electromagnetic phenomena on structures with sub-wavelength geometric features, e.g. millimeter and microwave integrated circuits, antenna feeds and beam-forming networks, aircraft fuselage details, etc. The literature abounds with techniques to precondition EFIEs. One such technique, the Calderón Multiplicative Preconditioner (CMP) proposed in [1] can be trivially integrated into existing boundary element codes as the discretized operator comprises the multiplication of two standard EFIE matrices (produced with a Rao-Wilton-Glisson code) weighted by sparse Gram and projection matrices, containing O(N) nonzero elements. Unfortunately, the CMPs proposed to date only apply to triangular meshes and their barycentric refinement. |
| Starting Page | 1 |
| Ending Page | 4 |
| File Size | 290617 |
| Page Count | 4 |
| File Format | |
| ISBN | 9781424449675 |
| ISSN | 15223965 |
| DOI | 10.1109/APS.2010.5561902 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2010-07-11 |
| Publisher Place | Canada |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Sparse matrices Scattering Integral equations Electric fields Aircraft Equations Microwave antennas |
| Content Type | Text |
| Resource Type | Article |
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