METHODS OF COMPLEX ANALYSIS AND SUMMARY REPRESENTATIONS MODELING NONLINEAR QUASIIDEAL PROCESSES IN DOUBLY-LAYERED MEDIUMS
Journal: BULLETIN OF THE NATIONAL UNIVERSITY OF WATER AND ENVIRONMENTAL ENGINEERING. Technical Sciences (Vol.1, No. 73)Publication Date: 2016-03-25
Authors : Bomba A. Y. Hladka O. M. Kuzmenko A. P.;
Page : 56-66
Keywords : complex potential; conformal mappings; summary representations method; domain decomposition; alternating method by Schwarz; layered medium;
Abstract
The constructive approach to solving of nonlinear boundary value problems for double-connected layered curvilinear domains bounded by equipotential lines was developed on the basis of synthesis of the numerical methods of complex analysis and summary representations with method of domain decomposition by Schwarz.
Developed algorithm automatically solves the problem of choice of nodes and the construction of a dynamic grid, finding the lines between the layers constant coefficient of conductivity of the medium, calculate the total flow.
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