Finite Step Conjugate Gradients Methods for the Solution of an Impedance Operator Equation Arising in Electromagnetics

Abstract

A class of finite step iterative methods, conjugate gradients, for the solution of an operator equation, is presented on this paper to solve electromagnetic scattering. The method of generalized equivalent circuit is used to model the problem and then deduce an electromagnetic equation based on the impedance operator. Four versions of the conjugate gradient method are presented and numerical results for an iris structure are given, to illustrate convergence properties of each version. Computational efficiency of these methods has been compared to the moment method.

A class of finite step iterative methods, conjugate gradients, for the solution of an operator equation, is presented on this paper to solve electromagnetic scattering. The method of generalized equivalent circuit is used to model the problem and then deduce an electromagnetic equation based on the impedance operator. Four versions of the conjugate gradient method are presented and numerical results for an iris structure are given, to illustrate convergence properties of each version. Computational efficiency of these methods has been compared to the moment method.

Keywords

Conjugate Gradient method, Generalized Equivalent Circuit Method, MoM, Electromagnetic Computational, Scattering

Conjugate Gradient method, Generalized Equivalent Circuit Method, MoM, Electromagnetic Computational, Scattering

Cite this paper

nullH. belhadj and T. Aguili, "Finite Step Conjugate Gradients Methods for the Solution of an Impedance Operator Equation Arising in Electromagnetics,"*Journal of Electromagnetic Analysis and Applications*, Vol. 3 No. 10, 2011, pp. 416-422. doi: 10.4236/jemaa.2011.310066.

nullH. belhadj and T. Aguili, "Finite Step Conjugate Gradients Methods for the Solution of an Impedance Operator Equation Arising in Electromagnetics,"

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