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Method of conjugate gradient and fast fourier transfrom for numerical solution of conducting plate of ressonant size
Author
Source
Al-Balqa` for Research and Studies
Issue
Vol. 4, Issue 2 (31 Dec. 1996), pp.27-53, 27 p.
Publisher
Publication Date
1996-12-31
Country of Publication
Jordan
No. of Pages
27
Main Subjects
Abstract EN
Simple and efficient novel combination of the conjugate gradient (CG) method with the fast Fourier transform technique (FFT) is presented.
With this combination, the computational time required to solve electromagnetic scatterer problems is much less than the time required by the ordinary (CG) method and the method of moments (MOM).
Also, applied computational electromagnetics (ACE) require the computation of potential functions given in terms of convolution integrals which can be calculated very efficiently by using the (CG-FFT).
The procedure is made easy and systematic by using a sampling process with roof-top functions to represent the induced current and pulses to average the fields.
The scheme is an efficient numerical tool since the spatial derivatives are replaced with simple multiplications in the transformed domain, some of the computational difficulties present in the ordinary (CG) method and the (MOM) do not exist here.
Therefore, electrically small structures can also be handled more easily.
In comparison with (MOM), this scheme avoids the storage of large matrices and reduces the coputer time by orders of magnitude.
Finally, since the method is iterative, it is possible to know the accuracy in a problem solution.
A perfectly conducting square plate is analyzed.
Results are presented and compared with analytical, mumerical, or measured values that appear in the literature.
The details of the formulation and the computational procedure are presented along with the numerical resits for the problem.
American Psychological Association (APA)
al-Fauri, Mukhlid Fadil. 1996. Method of conjugate gradient and fast fourier transfrom for numerical solution of conducting plate of ressonant size. Al-Balqa` for Research and Studies،Vol. 4, no. 2, pp.27-53.
https://search.emarefa.net/detail/BIM-203922
Modern Language Association (MLA)
al-Fauri, Mukhlid Fadil. Method of conjugate gradient and fast fourier transfrom for numerical solution of conducting plate of ressonant size. Al-Balqa` for Research and Studies Vol. 4, no. 2 (Dec. 1996), pp.27-53.
https://search.emarefa.net/detail/BIM-203922
American Medical Association (AMA)
al-Fauri, Mukhlid Fadil. Method of conjugate gradient and fast fourier transfrom for numerical solution of conducting plate of ressonant size. Al-Balqa` for Research and Studies. 1996. Vol. 4, no. 2, pp.27-53.
https://search.emarefa.net/detail/BIM-203922
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 52-53
Record ID
BIM-203922