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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Valdes, F. Andriulli, F.P. Cools, K. Kotulski, J.D. Michielssen, E. |
| Copyright Year | 2010 |
| Description | Author affiliation: Politecnico di Torino, Torino, Italy (Andriulli, F.P.) || University of Michigan, Ann Arbor, USA (Valdes, F.; Michielssen, E.) || Sandia National Laboratories, Albuquerque, USA (Kotulski, J.D.) || Ghent University, Ghent, Belgium (Cools, K.) |
| Abstract | Method of moments (MoM)-based electric field integral equation (EFIE) solvers are widely used for analyzing time-harmonic electromagnetic scattering from perfect electrically conducting (PEC) surfaces [1]. That said, MoM-EFIE solvers are no panacea. Indeed, the spectral properties of the EFIE operator [2] render MoM system matrices arising from dense meshes highly ill-conditioned. Recent efforts at preconditioning MoM-EFIE solvers by using Calderón identities in conjunction with zeroth-order Buffa-Christiansen (BC) basis functions [3] and their higher-order extensions [4] have been shown to largely remedy this problem, however [2,4,5]. Unfortunately, the high-order BC constructs developed to date are not local; that is, unlike their zeroth-order counterparts, their support includes the entire scatterer surface. In this paper, the concepts presented in [4] are used to generate a set of completely localized high-order div- and quasi curl-conforming basis functions. The fact that these functions are localized allows for them to be pre-computed and stored in memory during the iterative solution process, resulting in significant CPU time and memory reductions. Numerical results show that the proposed localization procedure does not adversely affect the functions' preconditioning properties. |
| Starting Page | 1 |
| Ending Page | 4 |
| File Size | 949827 |
| Page Count | 4 |
| File Format | |
| ISBN | 9781424449675 |
| ISSN | 15223965 |
| DOI | 10.1109/APS.2010.5561906 |
| 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 | Moment methods Integral equations Electric fields Impedance Boundary element methods Antennas Scattering |
| Content Type | Text |
| Resource Type | Article |
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