Geodesic
Optimal discretization of PML for elasticity problems
Electronic transactions on numerical analysis, Tome 30 (2008), pp. 258-277
This paper presents a generalization of the optimal finite-difference perfectly matched layer (PML) approach to isotropic elasticity. It allows the use of methods of rational approximation theory for a clever choice of discretization parameters in order to essentially reduce reflection coefficients for a wide range of incident angles while using a small number of grid points.
Classification : 65N06, 74C02
Keywords: artificial boundary conditions, optimal grids, perfectly matched layers, finite-difference schemes, rational approximation 
@article{ETNA_2008__30__a9,
     author = {Lisitsa,  Vadim},
     title = {Optimal discretization of {PML} for elasticity problems},
     journal = {Electronic transactions on numerical analysis},
     pages = {258--277},
     year = {2008},
     volume = {30},
     zbl = {1170.74052},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2008__30__a9/}
}
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%A Lisitsa,  Vadim
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%J Electronic transactions on numerical analysis
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Lisitsa,  Vadim. Optimal discretization of PML for elasticity problems. Electronic transactions on numerical analysis, Tome 30 (2008), pp. 258-277. http://geodesic.mathdoc.fr/item/ETNA_2008__30__a9/