Higher-order Locally Corrected Nystrom solution of the combined field integral equation based on geometric modelling with NURBS

摘要

Higher-order (HO) methods for electromagnetic analysis are of high practical interest as they are exponentially more efficient than their low-order counterparts (Jeffrey, et.al., IEEE AP Mag. pp. 294–308, vol. 55, no. 3, June 2013). Such methods also can produce the same accuracy of solution with greatly reduced number of unknowns. The HO Method of Moments (MoM) and HO Locally Corrected Nystrom (LCN) method are two common techniques which yield such benefits. The former, however, is known to require prolonged system matrix fill times compared to that of the LCN method (Notaros, IEEE Trans. Antennas Propag., 56, 2251–2276, 2008). Being an element-based method the HO MoM also renders acceleration techniques such as the multilevel fast multipole algorithm (MLFMA) to be less efficient than the point-based LCN method. For the above reasons MLFMA accelerated HO LCN method is a preferred approach to efficient error-controllable large-scale electromagnetic analysis (Jeffrey, et. al., IEEE AP Mag. pp. 294–308, vol. 55, no. 3, June 2013).