Efficient Representation of Multilevel QR Algorithm for Analysis of Microstrip Structures

摘要

This paper presents a novel approach for the efficient solution of large-scale microstrip structures with the mixed potential integral equation (MPIE) in conjunction with the method of moments (MoM) based on the conventional Rao-Wilton-Glisson (RWG) basis functions. Although multilevel QR (MLQR) is efficient compared with direct method, it consumes more computation time and storage memory. A novel matrix compression technique is presented to recompress the sub-matrices of MLQR algorithm. The advantages of applying the novel recompression technique are illustrated by numerical results, the computation time as well as the memory requirements are compared to the conventional MLQR algorithm and the matrix decomposition algorithm-singular value decomposition (MDA-SVD). It is demonstrated that the use of proposed method can result in significant savings in computation time and memory requirements, with little or no compromise in the accuracy of the solution.