Hierarchical LU Direct Solver Based on Higher Order Basis Function

A novel Hierarchical (H-) LU decomposition direct solution based on higher order basis function (HOBF) is presented to solve electromagnetic (EM) scattering from electrically large conducting targets. Due to the H-matrix structure, the H-LU fast direct solver can efficiently calculate the inverse of a moment-method matrix. By utilizing a high order geometrical modeling, a HOBF can be defined. Therefore, the number of unknowns can be greatly reduced to further expedite the computation. Numerical results demonstrate that compared with the low order modeling, the proposed method can significantly enhance the computational efficiency of electrically large EM scattering problems.