𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A simple preconditioner for electric-field integral equations

✍ Scribed by Yongjun Xie; Jiangqi He; Anders Sullivan; Lawrence Carin

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
129 KB
Volume
30
Category
Article
ISSN
0895-2477

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

A preconditioner is applied to the electric‐field integral equation, 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 basis function, requiring order N complexity for N unknowns. Example results are presented for microwave scattering calculations for targets in the vicinity of a half space (soil), with results computed via a multilevel fast multipole algorithm. © 2001 John Wiley & Sons, Inc. Microwave Opt Technol Lett 30: 51–54, 2001.

📜 SIMILAR VOLUMES

Super-hyper singularity treatment for so
Super-hyper singularity treatment for solving 3D electric field integral equations
✍ Mei Song Tong; Weng Cho Chew 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 203 KB

## Abstract The super‐hyper singularity treatment is developed for solving three‐dimensional (3D) electric field integral equations (EFIE). EFIE usually takes two forms: one of which includes a super‐hyper singular kernel generated by the double gradient of the Green's function. So far, there is no

Circulant preconditioners for ill-condit
Circulant preconditioners for ill-conditioned boundary integral equations from potential equations
✍ Raymond H. Chan; Hai-Wei Sun; Wing-Fai Ng 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 142 KB

In this paper, we consider solving potential equations by the boundary integral equation approach. The equations so derived are Fredholm integral equations of the ÿrst kind and are known to be ill-conditioned. Their discretized matrices are dense and have condition numbers growing like O(n) where n

An augmented electric field integral equ
An augmented electric field integral equation for high-speed interconnect analysis
✍ Zhi Guo Qian; Weng Cho Chew 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 482 KB

## Abstract The conventional electric field integral equation (EFIE) is augmented by including charge as the extra unknown, so that the contributions of the vector potential and the scalar potential are separated to avoid the imbalance at low frequencies. With the frequency scaling and the direct e

Time-domain electric-field integral equa
Time-domain electric-field integral equation with central finite difference
✍ Baek Ho Jung; Tapan Kumar Sarkar 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 433 KB

## Abstract In this paper, we present a new formulation using the time‐domain electric‐field integral equation (TD–EFIE) to obtain a transient scattering response from arbitrarily shaped conducting bodies. The time derivative of the magnetic vector potential is approximated with a central finite di