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KIAM Preprint № 246, Moscow, 2018
Authors: Galanin M. P., Sorokin D. L.
Development and application of numerical methods for solving tasks in unlimited regions based on the third Green formula
Abstract:
The two-step algorithm for solving problems with a linear elliptic operator, for which the fundamental solution is known, is analyzed. New methods for solving problems in an unbounded areas with a mixed type operator are proposed: a method for expanding a domain, a method for specifying of integral boundary conditions and a three-step iterative method. The range of applicability of the constructed methods is limited by cases where outside a certain finite area the operators have a known fundamental solution and their right-hand side is homogeneous. To solve specific problems on the basis of the proposed methods, computational algorithms have been created, implemented in the form of computer software. A series of computational experiments confirming the correctness of the methods carried out. The results of calculations of the electromagnetic field around the rails of an electrodynamic rail-type accelerator in the two-dimensional case are presented.
Keywords:
unlimited area, mixed operator, electromagnetic field
Publication language: russian,  страниц: 24
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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