A p-MUS preconditioner for the EFIE
File(s)
Author(s)
Bluck, MJ
Cinosi, NN
Walker, SP
Type
Journal Article
Abstract
This paper considers the solution of the electric field integral equation (EFIE) in electromagnetics. As with associated finite element methods, their solution relies upon the construction of conforming bases. Whilst lowest order (RWG) spaces are near ubiquitous, their extension to higher order offers, potentially, a number of benefits in terms of accuracy and efficiency, which has been well documented in both finite elements and integral equation formulations. A further evolution of higher order conforming bases is the hierarchical basis. These have demonstrated considerable gains in efficiency in finite element applications. Such bases allow for the development of effective acceleration schemes, for instance, the multilevel Schwarz type preconditioner (p-MUS). An obvious question arises as to the applicability of such hierarchical bases and their associated acceleration schemes to integral equations. It is seen that the conclusions as to their efficacy depend strongly on the scattering regime. In particular, high frequency problems (those where the wavelength is the principal determinant of mesh size) are shown to benefit little from hierarchical functions. On the other hand, for {\lq low frequency\rq} problems (where geometry is the main determinant of mesh size), there are significant improvements in performance over corresponding interpolatory schemes.
Date Issued
2013-08-06
Citation
IEEE Transactions on Antennas and Propagation, 2013, n/a, pp.n/a-
ISSN
0018-926X
Publisher
IEEE
Start Page
n/a
End Page
5552
Journal / Book Title
IEEE Transactions on Antennas and Propagation
Volume
n/a
Issue
11
Copyright Statement
© 2013 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000326832300021&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Publication Status
Accepted