Fast direct solution of 3-D dynamic electromagnetic problems by method of moments

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.

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Comparison of higher order fem and MOM/SIE approaches in analyses of closed- and open-region electromagnetic problems

Facta universitatis - series Electronics and Energetics ◽

10.2298/fuee0802209i ◽

2008 ◽

Vol 21 (2) ◽

pp. 209-220

Author(s):

Milan Ilic ◽

Andjelija Ilic ◽

Branislav Notaros

Keyword(s):

Method Of Moments ◽

Three Dimensional ◽

Higher Order ◽

The Finite Element Method ◽

Surface Integral ◽

Electromagnetic Problems ◽

Full Wave ◽

Full Wave Analysis ◽

Open Region ◽

Higher Order Modeling

We investigate the efficiency of the two most popular frequency-domain approaches in computational electromagnetics (CEM); the finite element method (FEM) and the method of moments based on the surface integral equation (MoM/SIE), both in the context of the higher order modeling. We compare the performances of the two approaches in two simple three-dimensional (3-D) problems with similar meshes, chosen as benchmark examples. The chosen examples demonstrate full-wave analysis of a wave-guiding structure (a closed-region problem) and a scatterer in free space (an open-region problem). .

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Comparison of Wavelet Packet and Wavelet in Solving Arbitrary Array of Parallel Wires Integral Equations in Electromagnetics

Advanced Electromagnetics ◽

10.7716/aem.v9i3.1487 ◽

2020 ◽

Vol 9 (3) ◽

pp. 8-14

Author(s):

M. Bayjja ◽

G. Alsharahi ◽

M. Aghoutane ◽

N. A. Touhami

Keyword(s):

Integral Equation ◽

Method Of Moments ◽

Direct Method ◽

Wavelet Packet ◽

Dense Matrix ◽

Impedance Matrix ◽

Electric Field Integral Equation ◽

Electromagnetic Problems ◽

Number Of Zeros ◽

Wavelet Packet Transformation

In this paper, wavelets transformation (WT) and wavelet packet transformation (WPT) are used in solving, by the method of moments, a semicircular array of parallel wires electric field integral equation. First, the integral equation is solved by applying the direct method of moments via point-matching procedure, results in a linear system with a dense matrix. Therefore, wavelet transformation and wavelet packet transformation are used to sparsify the impedance matrix, using two categories of wavelets functions, Biorthogonal (bior2.2) and Orthogonal (db4) wavelets. The far-field scattering patterns and the comparison between wavelets transformation and wavelet packet transformation in term number of zeros in impedance matrix and CPU Time reduction are presented. Numerical results are presented to identify which technique is best suited to solve such scattering electromagnetic problems and compared with published results.

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