AIM Analysis of 3D PEC Problems Using Higher Order Hierarchical Basis Functions

An adaptive integral method (AIM) is described for higher order method of moments (MoM) solution of 3D PEC problems. The new method can efficiently deal with electrically large problems by taking the advantages of both the AIM in memory and computational costs and the higher order MoM in number of unknowns. It proposes a Gaussian points based projection procedure to make the algorithm suitable for large discretization elements. Numerical examples based on higher order hierarchical Legendre basis functions show excellent accuracy, flexibility and efficiency of the proposed technique, as well as the advantages over the existing higher order AIM in terms of memory and computational costs.