GENERALIZATION OF THE NUMERICAL QUASICONFORMAL MAPPINGS METHOD FOR THE SOLUTION IDENTIFICATION PROBLEMS WITH USING APPLIED QUASIPOTENTIALS TOMOGRAPHY
Journal Title: Вісник Кременчуцького національного університету імені Михайла Остроградського - Year 2017, Vol 1, Issue 106
Abstract
Purpose. To research the transferring of the applied quasipotentials method of image reconstruction for solving problems of constructing a quasiconformal mapping when there are several additional sources of the basic flow pertur- bation. Methodology. The method of image reconstruction has been proposed, according to which the analysis problem in the iterative process is reduced to the application of numerical quasiconformal mappings methods, where a well- known approach to the construction a quasiconformal mapping for the case of domains with a large number of equipo- tential areas is used, and the synthesis problem is reduced to the parametric identification problem solution, in particular using the methodology of sequential identification of a heterogeneous conduction. Results. The reconstructed image of the conductivity distribution inside the investigated object in a series of injections for regions with two and three sec- tions of quasipotentials application has been constructed on the basis of the numerical calculations. The proposed ap- proach significantly improves the solution accuracy, although it increases the program execution time in some cases. Originality. For the first time, the applied quasipotentials method of reconstruction of images has been used for the solving problems of constructing a quasiconformal mapping, where the several additional sources of perturbation of the basic flow are present. Practical value. An algorithm of solving the problem of applied quasipotentials tomography has been presented, and the method’s advantages in the case of presence a several areas of perturbation of the basic flow are shown.
Authors and Affiliations
М. Boichura
Keywords
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