TY - GEN
T1 - On using charge as an additional unknown in the EFIE-hd to improve mesh stability
AU - Cheng, Jin
AU - Adams, Robert J.
PY - 2013
Y1 - 2013
N2 - It has been recently observed that a new electric field integral equation (EFIE) based formulation that relies on the Helmholtz decomposition (HD) (EFIE-hd) of the current can overcome the low frequency breakdown problem of the EFIE. It has been demonstrated that the EFIE-hd is frequency stable and provides accurate solutions for the electric and magnetic fields at high and low frequencies. While the resulting EFIE-hd is frequency stable, it is not stable with respect to mesh refinement. The purpose of this work is to obtain an improved formulation that is also stable with mesh refinement by augmenting the original EFIE-hd with the continuity equation (referred to as EFIE-hdc) and including charge as additional set of unknowns with appropriate diagonal scaling.
AB - It has been recently observed that a new electric field integral equation (EFIE) based formulation that relies on the Helmholtz decomposition (HD) (EFIE-hd) of the current can overcome the low frequency breakdown problem of the EFIE. It has been demonstrated that the EFIE-hd is frequency stable and provides accurate solutions for the electric and magnetic fields at high and low frequencies. While the resulting EFIE-hd is frequency stable, it is not stable with respect to mesh refinement. The purpose of this work is to obtain an improved formulation that is also stable with mesh refinement by augmenting the original EFIE-hd with the continuity equation (referred to as EFIE-hdc) and including charge as additional set of unknowns with appropriate diagonal scaling.
UR - https://www.scopus.com/pages/publications/84894125802
UR - https://www.scopus.com/pages/publications/84894125802#tab=citedBy
U2 - 10.1109/USNC-URSI.2013.6715407
DO - 10.1109/USNC-URSI.2013.6715407
M3 - Conference contribution
AN - SCOPUS:84894125802
SN - 9781479911295
T3 - 2013 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium), USNC-URSI 2013 - Proceedings
SP - 101
BT - 2013 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium), USNC-URSI 2013 - Proceedings
T2 - 2013 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium), USNC-URSI 2013
Y2 - 7 July 2013 through 13 July 2013
ER -