TY - GEN
T1 - A Refinement - Free Calderón Preconditioner for the Electric Field Integral Equation on Geometries with Junctions
AU - Adrian, Simon B.
AU - Andriullil, Francesco P.
AU - Eibert, Thomas F.
N1 - Publisher Copyright:
© 2018 IEEE.
PY - 2018
Y1 - 2018
N2 - We present a refinement-free Calderón multiplicative preconditioner (RF-CMP) for the electric field integral equation (EFIE) working on arbitrary geometries, that is, the case that the geometry has junctions is included. This is in stark contrast to existing Calderón preconditioners requiring the use of dual basis functions (e.g., Buffa-Christiansen (BC) or Chen-Wilton (CW) basis functions), which have not been generalized to arbitrary geometries. We obtain this result by a generalization of loop-star functions on junctions and using the fact that the loop and star transformation matrices can, if combined elaborately, be used to cure the dense-discretization breakdown of the EFIE. Numerical results demonstrate the effectiveness of our approach.
AB - We present a refinement-free Calderón multiplicative preconditioner (RF-CMP) for the electric field integral equation (EFIE) working on arbitrary geometries, that is, the case that the geometry has junctions is included. This is in stark contrast to existing Calderón preconditioners requiring the use of dual basis functions (e.g., Buffa-Christiansen (BC) or Chen-Wilton (CW) basis functions), which have not been generalized to arbitrary geometries. We obtain this result by a generalization of loop-star functions on junctions and using the fact that the loop and star transformation matrices can, if combined elaborately, be used to cure the dense-discretization breakdown of the EFIE. Numerical results demonstrate the effectiveness of our approach.
UR - http://www.scopus.com/inward/record.url?scp=85061940615&partnerID=8YFLogxK
U2 - 10.1109/APUSNCURSINRSM.2018.8609072
DO - 10.1109/APUSNCURSINRSM.2018.8609072
M3 - Conference contribution
AN - SCOPUS:85061940615
T3 - 2018 IEEE Antennas and Propagation Society International Symposium and USNC/URSI National Radio Science Meeting, APSURSI 2018 - Proceedings
SP - 2451
EP - 2452
BT - 2018 IEEE Antennas and Propagation Society International Symposium and USNC/URSI National Radio Science Meeting, APSURSI 2018 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2018 IEEE Antennas and Propagation Society International Symposium and USNC/URSI National Radio Science Meeting, APSURSI 2018
Y2 - 8 July 2018 through 13 July 2018
ER -