caa a22 4500 605518777 CHVBK 20210128100727.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s10559-015-9727-8 doi (NATIONALLICENCE)springer-10.1007/s10559-015-9727-8 Kostenko O. B. I. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Kharkiv, Ukraine aut Mathematical Model of Wave Scattering by an Impedance Grating1 [Elektronische Daten] [O. Kostenko] This article develops a numerical-analytical method for solving the problem of scattering acoustic and electromagnetic waves by an impedance grating. This problem leads to a third-type boundary problem for the two-dimensional Helmholtz equation with additional conditions. The boundary value problem is reduced to boundary integral equations, and the discrete singularities method is modified to numerically solve them. Dependencies of integral characteristics of solutions to the problem on frequency are obtained. Springer Science+Business Media New York, 2015 Helmholtz equation nationallicence third-type boundary value problem nationallicence impedance nationallicence integral equation nationallicence Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/3(2015-05-01), 344-360 1060-0396 51:3<344 2015 51 10559 https://doi.org/10.1007/s10559-015-9727-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10559-015-9727-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kostenko O. B. I. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Kharkiv, Ukraine aut NATIONALLICENCE 773 0- Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/3(2015-05-01), 344-360 1060-0396 51:3<344 2015 51 10559