TY - JOUR
T1 - EFIE analysis of low-frequency problems with loop-star decomposition and Calderón multiplicative preconditioner
AU - Yan, Su
AU - Jin, Jian Ming
AU - Nie, Zaiping
N1 - Funding Information:
Manuscript received July 02, 2009; revised August 06, 2009. First published December 31, 2009; current version published March 03, 2010. This work was supported in part by the China Scholarship Council (CSC), the National Science Foundation of China (NSFC) under Contract 60728101, and in part by the 111 project under Contract B07046.
PY - 2010/3
Y1 - 2010/3
N2 - Low-frequency electromagnetic problems are analyzed using the electric field integral equation (EFIE) with loop-star basis functions to alleviate the low-frequency breakdown problem. By constructing the loop-star basis functions with the curvilinear RWG (CRWG) basis and the Buffa-Christiansen (BC) basis, respectively, the recently proposed Calderón multiplicative preconditioner (CMP) is improved to become applicable at low frequencies. The Gram matrix arisen from CRWG loop-star basis and BC loop-star basis is studied in detail. A direct solution approach is introduced to solve the Gram matrix equation. The proposed Calderón preconditioner improves the condition of the EFIE operator at low frequencies, which results in a fast convergence of the preconditioned EFIE system. Several numerical examples demonstrate the fast and mesh-independent convergence of the preconditioned system.
AB - Low-frequency electromagnetic problems are analyzed using the electric field integral equation (EFIE) with loop-star basis functions to alleviate the low-frequency breakdown problem. By constructing the loop-star basis functions with the curvilinear RWG (CRWG) basis and the Buffa-Christiansen (BC) basis, respectively, the recently proposed Calderón multiplicative preconditioner (CMP) is improved to become applicable at low frequencies. The Gram matrix arisen from CRWG loop-star basis and BC loop-star basis is studied in detail. A direct solution approach is introduced to solve the Gram matrix equation. The proposed Calderón preconditioner improves the condition of the EFIE operator at low frequencies, which results in a fast convergence of the preconditioned EFIE system. Several numerical examples demonstrate the fast and mesh-independent convergence of the preconditioned system.
KW - Buffa-Christiansen basis functions
KW - Calderón multiplicative preconditioner
KW - Electric field integral equation (EFIE)
KW - Loop-star decomposition
KW - Low-frequency problems
KW - Method of moments
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U2 - 10.1109/TAP.2009.2039336
DO - 10.1109/TAP.2009.2039336
M3 - Article
AN - SCOPUS:77749307678
SN - 0018-926X
VL - 58
SP - 857
EP - 867
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
IS - 3
M1 - 5371943
ER -