Modified integral current methods in electrodynamics of nonhomogeneous media |
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Authors: | M S Kruglyakov |
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Institution: | 1.Faculty of Computational Mathematics and Cybernetics,Moscow State University,Moscow,Russia |
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Abstract: | The main difficulty in numerical solution of integral equations of electrodynamics is associated with the need to solve a
high-order system of linear equations with a dense matrix. It is therefore relevant to develop numerical methods that lead
to linear equation systems of lower order at the cost of more complex evaluation of the coefficients. In this article we propose
a method for solving linear equations of electrodynamics which is a modification of the integral current method. The main
distinctive feature of the proposed method is double integration of the electric Green’s tensor in the process of algebraization
of the original integral equation. The solutions of the system of linear equations are thus integral means of the electric
field inside the anomaly constructed by the proposed transformation formula. We prove convergence and derive error bounds
for both the solution of the integral equation and the electromagnetic field components evaluated from approximate transformation
formulas. |
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