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Matem. Mod., 2006, Volume 18, Number 10, Pages 91–101 (Mi mm10)  

This article is cited in 2 scientific papers (total in 2 papers)

Pml development on the base of Laguerre transform application

G. V. Reshetovaa, V. A. Tcheverdab

a Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
b Institute of Geophysics SB RAS

Abstract: An approach to bound the computational area for implementation of 3D numerical simulation of elastic waves propagation is considered. In order to do that the special choice of Perfectly Matched Layers (PML) is introduced into consideration on the base of Laguerre transformation with respect to time. These PML happened to be unsplit ones and are well-posed. These features allow to reduce essentially the quantity of unknowns within PML and to avoid instability of numerical solution. Results of numerical experimentations are presented.

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Received: 11.11.2005

Citation: G. V. Reshetova, V. A. Tcheverda, “Pml development on the base of Laguerre transform application”, Matem. Mod., 18:10 (2006), 91–101

Citation in format AMSBIB
\Bibitem{ResTch06}
\by G.~V.~Reshetova, V.~A.~Tcheverda
\paper Pml development on the base of Laguerre transform application
\jour Matem. Mod.
\yr 2006
\vol 18
\issue 10
\pages 91--101
\mathnet{http://mi.mathnet.ru/mm10}
\zmath{https://zbmath.org/?q=an:1104.86301}


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    This publication is cited in the following articles:
    1. V. I. Kostin, G. V. Reshetova, V. A. Cheverda, “Chislennoe modelirovanie trekhmernogo akusticheskogo karotazha s ispolzovaniem mnogoprotsessornykh vychislitelnykh sistem”, Matem. modelirovanie, 20:9 (2008), 51–66  mathnet  zmath
    2. Belonosov M.A., Kostov K., Reshetova G.V., Solovev S.A., Cheverda V.A., “Organizatsiya parallelnykh vychislenii dlya modelirovaniya seismicheskikh voln s ispolzovaniem additivnogo metoda shvartsa”, Vychislitelnye metody i programmirovanie: novye vychislitelnye tekhnologii, 13:1 (2012), 525–535  mathnet  elib
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