An IE-ODDM with higher-order hierarchical Legendre basis functions

In this paper, an IE-ODDM with higher-order hierarchical Legendre basis functions is proposed for solving the scattering from an electrically large PEC object. Because higher-order basis functions are employed, the sizes of the meshes can be selected larger. Thence, even though the area of each subdomain is relatively larger, the number of unknowns involved in the subdomain is relatively smaller compared with the case where RWG basis functions are employed. Therefore, compared with the original IE-ODDM, our IE-ODDM requires both lower memory requirement and less time spent of reaching convergence. Two numerical results are provided to verify the validity and efficiency of the proposed method.