Geodesic
One fast method of computation of the wave field reflected by a thin elastic layer
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 19, Tome 179 (1989), pp. 152-162

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The method of computation of the wave field reflected by a thin elastic layer is proposed. This method is based on the summing of cinematic and dynamic equivalents of the reflected waves. Due to this method the calculation time needed for obtaining results can be essentially reduced. 
@article{ZNSL_1989_179_a17,
     author = {N. S. Smirnova},
     title = {One fast method of computation of the wave field reflected by a thin elastic layer},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {152--162},
     publisher = {mathdoc},
     volume = {179},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a17/}
}
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N. S. Smirnova. One fast method of computation of the wave field reflected by a thin elastic layer. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 19, Tome 179 (1989), pp. 152-162. http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a17/