Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2020, Volume 23, Number 2, Pages 155–164
DOI: https://doi.org/10.15372/SJNM20200204 (Mi sjvm740) 		 
A family of solutions of the two-dimensional eikonal equation

An. G. Marchuk, E. D. Moskalensky

Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090 Russia
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DOI: https://doi.org/10.15372/SJNM20200204
Abstract: The propagation of a wave from the point source in the case when the velocity in the medium $v$ is expressed as $v=\frac1{\sqrt{y}}$ is considered. Exact solutions of the corresponding eikonal equation are obtained and numerically verified. The ambiguity of the solution to this question in the case when the point source is situated at the origin is shown.
Key words: wave propagation, wave front, eikonal equation, point source.
Received: 28.12.2018
Revised: 16.04.2019
Accepted: 19.12.2019
English version:
Numerical Analysis and Applications, 2020, Volume 13, Issue 2, Pages 127–135
DOI: https://doi.org/10.1134/S1995423920020044
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: An. G. Marchuk, E. D. Moskalensky, “A family of solutions of the two-dimensional eikonal equation”, Sib. Zh. Vychisl. Mat., 23:2 (2020), 155–164; Num. Anal. Appl., 13:2 (2020), 127–135
Citation in format AMSBIB
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\paper A family of solutions of the two-dimensional
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\jour Sib. Zh. Vychisl. Mat.
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\vol 23
\issue 2
\pages 155--164
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\crossref{https://doi.org/10.15372/SJNM20200204}
\transl
\jour Num. Anal. Appl.
\yr 2020
\vol 13
\issue 2
\pages 127--135
\crossref{https://doi.org/10.1134/S1995423920020044}
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