TY - JOUR
T1 - High-order Div- and Quasi Curl-Conforming Basis Functions for Calderón Multiplicative Preconditioning of the EFIE
AU - Valdes, Felipe
AU - Andriulli, Francesco P.
AU - Cools, Kristof
AU - Michielssen, Eric
N1 - 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.
PY - 2011/4
Y1 - 2011/4
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/598492
UR - http://ieeexplore.ieee.org/document/5705561/
UR - http://www.scopus.com/inward/record.url?scp=79953797001&partnerID=8YFLogxK
U2 - 10.1109/TAP.2011.2109692
DO - 10.1109/TAP.2011.2109692
M3 - Article
SN - 0018-926X
VL - 59
SP - 1321
EP - 1337
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
IS - 4
ER -