Features of the method of partial domains

Authors

  • V. T. Grinchenko Institute of Hydromechanics NAS of Ukraine, 03057, Kyiv, Zhelyabova str., 8/4 https://orcid.org/0000-0003-3229-1810
  • I. V. Vovk Institute of Hydromechanics NAS of Ukraine, 03057, Kyiv, Zhelyabova str., 8/4
  • V. T. Matsypura Taras Shevchenko National University of Kyiv

DOI:

https://doi.org/10.17721/1812-5409.2019/1.7

Abstract

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: 38-41

Language of the article: Ukrainian

References

GRINCHENKO, V.T., VOVK, I.V. and MATSYPURA, V.T. (2013) Volnovyie zadachi akustiki. Kiev: INTERSERVIS.

MITTRA, P. (ed.) (1977) Vyichislitelnyie metodyi v electrodinamike. Moscow: Mir.

VOVK, I. V., GOMILKO, А. М. and GORODETSKAYA, N. S. (1995) Ob osobennostyah primeneniya metoda chastichnyih oblastey v volnovyih zadachah. J. Acoust. 41 (3). p. 399–404.

No 1 (2019)

Downloads

How to Cite

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. Physical and Mathematical Sciences, (1), 38–41. https://doi.org/10.17721/1812-5409.2019/1.7

Issue

No. 1 (2019)

Section

Differential equations, mathematical physics and mechanics

License

Authors who publish with this journal agree to the following terms:

  1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).