High-order Div- and Quasi Curl-Conforming Basis Functions for Calderón Multiplicative Preconditioning of the EFIE

Felipe Valdes, Francesco P. Andriulli, Kristof Cools, Eric Michielssen

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

A new high-order Calderón multiplicative preconditioner (HO-CMP) for the electric field integral equation (EFIE) is presented. In contrast to previous CMPs, the proposed preconditioner allows for high-order surface representations and current expansions by using a novel set of high-order quasi curl-conforming basis functions. Like its predecessors, the HO-CMP can be seamlessly integrated into existing EFIE codes. Numerical results demonstrate that the linear systems of equations obtained using the proposed HO-CMP converge rapidly, regardless of the mesh density and of the order of the current expansion. © 2006 IEEE.
Original languageEnglish (US)
Pages (from-to)1321-1337
Number of pages17
JournalIEEE Transactions on Antennas and Propagation
Volume59
Issue number4
DOIs
StatePublished - Apr 2011
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): 399813
Acknowledgements: Manuscript received May 17, 2010; revised September 09, 2010; accepted September 13, 2010. Date of publication January 31, 2011; date of current version April 06, 2011. This work was supported in part by the National Science Foundation under Grant DMS 0713771, by the AFOSR STTR Grant "Multiscale Computational Methods for Study of Electromagnetic Compatibility Phenomena" (FA9550-10-1-0180), by the Sandia Grant "Development of Calderon Multiplicative Preconditioners with Method of Moments Algorithms," by the KAUST Grant 399813, and in part by an equipment grant from IBM.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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