Fast Simulation of Array Structures Using T-EPA With Hierarchical LU Decomposition

In this letter, a novel technique that combines the tangential equivalence algorithm (T-EPA) with hierarchical (H-) LU decomposition is proposed to solve the electromagnetic problems of large arrays. The T-EPA is a kind of domain decomposition method based on integral equation. The characteristic basis functions (CBFs) have been used on equivalence surface to reduce the number of unknowns. Multilevel fast multipole algorithm (MLFMA) has also been used to accelerate the matrix-vector multiplication. However, the inversion of dense matrix required in T-EPA is very time-consuming. Here, an efficient H-LU decomposition based on H-matrix framework is proposed to reduce the computational complexity of the inversion of dense matrix. Numerical results are shown to demonstrate the accuracy and efficiency of the proposed method.