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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2010, Volume 13, Number 1, Pages 67–73
(Mi sjvm268)
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This article is cited in 3 scientific papers (total in 3 papers)
On detecting a wavefront described by 2D eikonal equation, when velocity in a medium depends on one spatial variable
E. D. Moskalensky Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
Abstract:
In this paper, a 2D eikonal equation $f_x^2+f_y^2=(ky+b)^{2\alpha}$ is considered. If its solution is found, then the relation $f(x,y)=C$ determines the location of a wavefront. However, finding such solutions is still an open question. In this paper, we propose to directly find a curve in the parametric form, corresponding to the wavefront, without solving the equation as it is.
Key words:
wave propagation, eikonal equation.
Received: 24.07.2009
Citation:
E. D. Moskalensky, “On detecting a wavefront described by 2D eikonal equation, when velocity in a medium depends on one spatial variable”, Sib. Zh. Vychisl. Mat., 13:1 (2010), 67–73; Num. Anal. Appl., 3:1 (2010), 52–58
Linking options:
https://www.mathnet.ru/eng/sjvm268 https://www.mathnet.ru/eng/sjvm/v13/i1/p67
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Abstract page: | 386 | Full-text PDF : | 82 | References: | 40 | First page: | 8 |
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