An Efficient Matrix Fill-in Scheme for Surface Integral Equation with Higher Order Hierarchical Vector Basis Functions

An efficient matrix fill-in scheme is used into Galerkin-type method of moments (MoM) solution of the surface integral equation (SIE) with higher order geometrical modeling and higher order hierarchical vector basis functions. The scheme is achieved by an integral transformation. In contrast to previous studies on conventional higher order SIE, our scheme is reported for the first time in SIE. Compared with the conventional scheme, our scheme requires much less matrix fill-in time, while the memory, iteration performance and accuracy remain at the same level. Numerical results are given to demonstrate the efficiency of our scheme.