Hybrid Method of Higher-Order Mom and Nystrã–m Disretization Po for 3d Pec Problems

Abstract

Abstract-This paper presents an efficient and accurate hybrid approach of method of moments (MoM) and physical optics (PO) for radiation problems such as antennas mounted on a large platform. The new method employs higher-order hierarchical Legendre basis functions in the MoM region and higher-order Nyström scheme in the PO region. The two regions are both discretized with large domains. The unknowns can be much less than those in the small-domain MoM-PO solutions, which will lead to a great reduction in computation complexity. Furthermore, with the Nyström scheme in the PO region, the higher-order accuracy is maintained, and the calculation of the impedances can be more efficient than that in the existing higherorder MoM-PO procedure. Numerical results show the validity of the proposed method.

On the preconditioners of higher order method of moments for scattering by homogeneous dielectric objects

“…One of the ways to further improve the efficiency of MoM based on CTF is to employ higher order elements and basis functions, which has been recognized as one of the most robust approaches to improve efficiency of MoM solutions [7][8][9][10][11][12]. However, the use of higher order MoM will lead to increasing the conditional number of impedance matrix, which consequently increases difficulty in efficiently solving the discretized matrix equation.…”

A Higher Order Analysis of a Class of Inhomogeneously Filled Conducting Waveguides

“…It is known that the higher order methods provide faster convergence and more accurate results for a given number of unknowns in the numerical analysis of different electromagnetic problems [24][25][26][27].…”

On Openmp Parallelization of the Multilevel Fast Multipole Algorithm

“…Combining integral equation based methods [1][2][3][4][5][6][7][8][9][10] with parallel techniques becomes a new trend in computational electromagnetic (CEM) community because associated applications are always computational resources (including both CPU time and memory) demanding. A series of successes have actually been reached in this area [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26].…”