Geodesic
Transfer function calculation for the Poincar\'e--Steklov operator in the case of a functionally gradient elastic strip
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2023), pp. 52-60

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A boundary value problem is considered in a functionally graded elastic strip. A three-term asymptotic expansion of a transfer function is obtained for the Poincaré–Steklov operator that maps normal stresses to normal displacements on a part of a strip boundary. Padé approximations are determined for the obtained asymptotic series. An approach to computing the transfer function using the asymptotic series and the Padé approximations is proposed, which reduces computational costs. 
@article{VMUMM_2023_5_a7,
     author = {A. A. Bobylev},
     title = {Transfer function calculation for the {Poincar\'e--Steklov} operator in the case of a functionally gradient elastic strip},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {52--60},
     publisher = {mathdoc},
     number = {5},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2023_5_a7/}
}
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A. A. Bobylev. Transfer function calculation for the Poincar\'e--Steklov operator in the case of a functionally gradient elastic strip. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2023), pp. 52-60. http://geodesic.mathdoc.fr/item/VMUMM_2023_5_a7/