scholarly journals A Comparison of Two Methods for Solving Electromagnetic Field Integral Equation

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
L. Jebli
Keyword(s):  
Integral Equation ◽  
Electromagnetic Field ◽  
Conjugate Gradient ◽  
Gradient Method ◽  
Direct Method ◽  
Total Current ◽  
Method Of Moment ◽  
Electric Field Integral Equation ◽  
Field Integral ◽  
Number Of Iterations

The present paper aims to compare Harrington's direct method of moment (MoM) with the conjugate gradient method (CGM) by evaluating the total current solving the electric field integral equation (EFIE). Based on their performances, the number of iterations needed for convergence, storage, and the level of precision, it is found that the direct MoM is more efficient than other iterative CGM.

scholarly journals The Iterative Solution for Electromagnetic Field Coupling to Buried Wires

2011 ◽  
Vol 2011 ◽  
pp. 1-8 ◽  
Author(s):  
Xufeng Zhang ◽  
Jianshu Luo ◽  
Zipeng Zhao
Keyword(s):  
Integral Equation ◽  
Electromagnetic Field ◽  
Electric Field ◽  
Transmission Line ◽  
Iterative Solution ◽  
Telegraph Equation ◽  
Electric Field Integral Equation ◽  
Field Coupling ◽  
The Difference ◽  
Field Integral

By integrating the electric field integral equation and the transmission line equation, an iterative solution for the electromagnetic field coupling to buried wires is obtained. At first we establish the integral equation which the difference between solutions of the integral equation and the telegraph equation satisfies. Then the solution of the telegraph equation is used to approximate the solution of this integral equation. Every following step of iteration is an improvement on the transmission line solution, and with several iterations, a well approximation to the solution of electric field integral equation can be obtained.

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