## Abstract In this Letter, both the banded diagonal matrix and the symmetric successive overrelaxation (SSOR) precondition CG techniques are applied to dense matrix equations from the mixed potential integral equation (MPIE) to enhance computational efficiency. Numerical calculations show that the
Application of the SN-preconditioning method to the integral equations for a slot-array antenna
✍ Scribed by Yu Zhang; Yongjun Xie; Changhong Liang
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 117 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0895-2477
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
In this paper, a novel preconditioner scheme slot neighbour (SN) preconditioner is applied to dense matrix equations derived from integral equations for a slot‐array antenna in order to improve the convergence of iterative integral‐equation solvers, such as the conjugate‐gradient (CG) method. The preconditioner accounts for expansion‐function–testing‐function interactions in the vicinity of a given slot, requiring an order of N~s~ × N~b~ complexity for each N~s~ slot and each slot with N~b~ expansion unknowns. A typical slot‐array antenna is analyzed and good results demonstrate the validity of the proposed algorithms. © 2003 Wiley Periodicals, Inc. Microwave Opt Technol Lett 37: 302–305, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.10901
📜 SIMILAR VOLUMES
The prediction of ducted fan engine noise using a boundary integral equation method (BIEM) is considered. Governing equations for the BIEM are based on linearized acoustics and describe the scattering of incident sound by a thin, "nite-length cylindrical duct in the presence of a uniform axial in#ow
## Abstract In this paper we present orsder three, four and five backward product integration methods for the generalized Abel equation equation image We illustrate their use by silving the small angle deflection problem, and show computationally that these methods are convergent for all ϵ ϵ(0,1)
Communicated by R