𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Some preconditioners for the CFIE equation of electromagnetism

✍ Scribed by David P. Levadoux

Book ID
102515441
Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
161 KB
Volume
31
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We present three weak parametrices of the operator of the combined field integral equation (CFIE). An interesting feature of these parametrices is that they are compatible with different discretization strategies and hence allow for the construction of efficient preconditioners dedicated to the CFIE. Their numerical analysis shows that a regularization process acting at the continuous level of the equation is also effective at the discrete level if the mesh size tends to zero. First numerical tests confirm this effect and preconditioning is observed indeed. Furthermore, we show that the underlying operator of CFIE satisfies a uniform discrete Inf–Sup condition that allows one to predict an original convergence result for the numerical solution of CFIE to the exact one. Copyright © 2008 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

Application of a novel CFIE for electrom
Application of a novel CFIE for electromagnetic scattering by dielectric objects
✍ Pasi Ylä-Oijala 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 109 KB 👁 1 views

## Abstract In this Letter a new type of combined field integral equation (CFIE) is proposed and applied for electromagnetic scattering by three‐dimensional dielectric objects of arbitrary shape. In this formulation, traditional CFIE is applied outside the object, and inside the object the electric

A rank-revealing preconditioner for the
A rank-revealing preconditioner for the fast integral-equation-based characterization of electromagnetic crystal devices
✍ Davy Pissoort; Eric Michielssen; Dries Vande Ginste; Femke Olyslager 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 284 KB

## Abstract A novel rank‐revealing shielded‐block preconditioner that accelerates the iterative integral‐equation‐based analysis of wave propagation in electromagnetic crystal (EC) devices is presented. The proposed shielded‐block preconditioner exploits the bandgap character of the background elec