Geodesic
Pml development on the base of Laguerre transform application
Matematičeskoe modelirovanie, Tome 18 (2006) no. 10, pp. 91-101.

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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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     author = {G. V. Reshetova and V. A. Tcheverda},
     title = {Pml development on the base of {Laguerre} transform application},
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G. V. Reshetova; V. A. Tcheverda. Pml development on the base of Laguerre transform application. Matematičeskoe modelirovanie, Tome 18 (2006) no. 10, pp. 91-101. http://geodesic.mathdoc.fr/item/MM_2006_18_10_a8/

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