Features of the method of partial domains

Grinchenko, V. T., Vovk, I. V., Matsypura, V. T. (2019). Features of the method of partial domains. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics(1), 38–41. https://doi.org/10.17721/1812-5409.2019/1.7

Partial domains method is used effectively to study the problems of the radiation and dissipation of the waves of different nature. The main results of this method are relevant to the cases when adjacent domains do not intersect (it means that they have only one common border). If the adjacent partial domains intersect (it means that they can have two common borders) the traditional way of using partial domains method can be ineffective. An improved way of using partial domains method in the cases when adjacent domains intersect is described in the article. The article shows that one of the following conditions can be set on each of the borders of intersection region: functions equality on both sides of the border or equality of the normal derivative functions. The peculiarity of this approach is that the wave number in the problem should not be the same as the wave number of the partial domains intersection. However, the indicated restriction is not an obstacle to the application of this approach.Key words: partial domains, waveguide.Pages of the article in the issue: 38-41Language of the article: Ukrainian