Abstract
Questions of solution of three-dimensional diffraction problems are considered. The problems are formulated as weakly singular integral equations of 1 kind with alone unknown density. Discretization of these equations is realized by means of special smoothing method of fit integral operators. Numerical solutions of systems of linear algebraic equations, approximating integral equations of diffraction problems, were found by using of the variational iterative method and parallel computing technology. We gave the numerical experiment results.
The work was financially supported by the Russian Foundation for Basic Research (project no. 08-01-00947) and by Far Eastern Branch of the Russian Academy of Sciences (projects no. 09-I-P2-01, 09-III-B-01-012).
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References
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Kashirin, A.A., Smagin, S.I. (2010). On Numerical Solution of Integral Equations for Three-Dimensional Diffraction Problems. In: Hsu, CH., Malyshkin, V. (eds) Methods and Tools of Parallel Programming Multicomputers. MTPP 2010. Lecture Notes in Computer Science, vol 6083. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14822-4_2
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DOI: https://doi.org/10.1007/978-3-642-14822-4_2
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