Abstract
The parallel higher-order Method of Moments based on message passing interface (MPI) has been successfully used to analyze the changes in radiation patterns of a microstrip patch array antenna mounted on different positions of an airplane. The block-partitioned scheme for the large dense MoM matrix and a block-cyclic matrix distribution scheme are designed to achieve excellent load balance and high parallel efficiency. Numerical results demonstrate that the rigorous parallel Method of Moments can efficiently and accurately solve large complex electromagnetic problems with composite structures.
Highlights
As the most traditional and widely adopted method, the method of moments (MoM) is a numerically accurate method for solving electromagnetic problems [1]
Polynomial expansions for the basis functions over larger subdomains lead to a good approximation of the current distributions over large surfaces using approximately ten unknowns per wavelength squared, which is much less than the use of piecewise Rao-Wilton-Glisson basis functions (RWGs) [2, 3]
To improve the computation efficiency of the higherorder MoM, the large dense MoM matrix is divided into a number of smaller block matrices that are nearly equal in size and distributed among all participating processes
Summary
As the most traditional and widely adopted method, the method of moments (MoM) is a numerically accurate method for solving electromagnetic problems [1]. Its memory requirement and computational complexity grow rapidly with O (N2) or even O (N3), where N is the number of unknowns This makes the method very difficult to deal with large complex objects, such as airborne platform. To overcome this difficulty, on one hand, higherorder polynomials over wires and quadrilateral plates are used as basis functions over larger subdomain patches to reduce the number of unknowns [2].
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