TY - JOUR
T1 - A Calderón multiplicative preconditioner for coupled surface-volume electric field integral equations
AU - Bagci, Hakan
AU - Andriulli, Francesco P.
AU - Cools, Kristof
AU - Olyslager, Femke
AU - Michielssen, Eric
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This work was supported in part by AFOSR MURI Grant F014432-051936 aimed at modeling installed antennas and their feeds and in part by NSF Grant DMS 0713771.
PY - 2010/8
Y1 - 2010/8
N2 - A well-conditioned coupled set of surface (S) and volume (V) electric field integral equations (S-EFIE and V-EFIE) for analyzing wave interactions with densely discretized composite structures is presented. Whereas the V-EFIE operator is well-posed even when applied to densely discretized volumes, a classically formulated S-EFIE operator is ill-posed when applied to densely discretized surfaces. This renders the discretized coupled S-EFIE and V-EFIE system ill-conditioned, and its iterative solution inefficient or even impossible. The proposed scheme regularizes the coupled set of S-EFIE and V-EFIE using a Calderón multiplicative preconditioner (CMP)-based technique. The resulting scheme enables the efficient analysis of electromagnetic interactions with composite structures containing fine/subwavelength geometric features. Numerical examples demonstrate the efficiency of the proposed scheme. © 2006 IEEE.
AB - A well-conditioned coupled set of surface (S) and volume (V) electric field integral equations (S-EFIE and V-EFIE) for analyzing wave interactions with densely discretized composite structures is presented. Whereas the V-EFIE operator is well-posed even when applied to densely discretized volumes, a classically formulated S-EFIE operator is ill-posed when applied to densely discretized surfaces. This renders the discretized coupled S-EFIE and V-EFIE system ill-conditioned, and its iterative solution inefficient or even impossible. The proposed scheme regularizes the coupled set of S-EFIE and V-EFIE using a Calderón multiplicative preconditioner (CMP)-based technique. The resulting scheme enables the efficient analysis of electromagnetic interactions with composite structures containing fine/subwavelength geometric features. Numerical examples demonstrate the efficiency of the proposed scheme. © 2006 IEEE.
UR - http://hdl.handle.net/10754/561509
UR - http://ieeexplore.ieee.org/document/5466028/
UR - http://www.scopus.com/inward/record.url?scp=77955434903&partnerID=8YFLogxK
U2 - 10.1109/TAP.2010.2050419
DO - 10.1109/TAP.2010.2050419
M3 - Article
SN - 0018-926X
VL - 58
SP - 2680
EP - 2690
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
IS - 8
ER -