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

Type
Article

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

KAUST Grant Number
399813

Date
2011-04

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.

Citation
Valdes F, Andriulli FP, Cools K, Michielssen E (2011) High-order Div- and Quasi Curl-Conforming Basis Functions for Calderón Multiplicative Preconditioning of the EFIE. IEEE Transactions on Antennas and Propagation 59: 1321–1337. Available: http://dx.doi.org/10.1109/TAP.2011.2109692.

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.

Publisher
Institute of Electrical and Electronics Engineers (IEEE)

Journal
IEEE Transactions on Antennas and Propagation

DOI
10.1109/TAP.2011.2109692

Permanent link to this record
http://hdl.handle.net/10754/598492
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