Sparsification of the impedance matrix in the solution of the integral equation by using the maximally orthogonalized basis functions

作者：Ren Yi^*; Nie Zaiping; Zhao Yanwen; Ma Wenmin

来源：IEEE Transactions on Geoscience and Remote Sensing, 2008, 46(7): 1975-1981.

DOI：10.1109/TGRS.2008.916636

• higher order basis functions
• matrix sparsification
• maximum orthogonalization
• scaling factor

The higher order vector basis functions defined in large patches have been utilized in the numerical solution of integral equations in this paper to sparsify the impedance matrix and relieve the memory pressure. The physical explanation for the sparsification of the impedance matrix is also elucidated. Furthermore, the maximally orthogonalized bases have been applied to improve the condition number of the impedance matrix. The scaling factor was reformed to speed up the iteration convergence in the numerical solution. Finally, the iterative method for sparse matrix equations is applied to improve the solution efficiency. Some numerical results are provided to illustrate the excellent performance both in the sparsification of the impedance matrix and solution efficiency for numerical analysis of the scattering problem.

• 出版日期2008-7
• 单位电子科技大学