Research output: Contribution to journal › Article › peer-review
Finite-Dimensional Approximations of the Steklov–Poincaré Operator in Periodic Elastic Waveguides. / Nazarov, S.A.
In: Doklady Physics, Vol. 63, No. 7, 01.07.2018, p. 307-311.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Finite-Dimensional Approximations of the Steklov–Poincaré Operator in Periodic Elastic Waveguides
AU - Nazarov, S.A.
PY - 2018/7/1
Y1 - 2018/7/1
N2 - Abstract: For anisotropic elastic waveguides with cylindrical or periodic outlets to infinity, artificial integro-differential conditions are developed at the end face of a truncated waveguide, which simulate the Steklov–Poincaré operator for scalar problems. Asymptotically sharp error estimates are derived in the definition of both the elastic fields themselves in the waveguide and the corresponding scattering coefficients.
AB - Abstract: For anisotropic elastic waveguides with cylindrical or periodic outlets to infinity, artificial integro-differential conditions are developed at the end face of a truncated waveguide, which simulate the Steklov–Poincaré operator for scalar problems. Asymptotically sharp error estimates are derived in the definition of both the elastic fields themselves in the waveguide and the corresponding scattering coefficients.
UR - http://www.scopus.com/inward/record.url?scp=85051445729&partnerID=8YFLogxK
U2 - 10.1134/S1028335818070108
DO - 10.1134/S1028335818070108
M3 - Article
VL - 63
SP - 307
EP - 311
JO - Doklady Physics
JF - Doklady Physics
SN - 1028-3358
IS - 7
ER -
ID: 35209090