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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2022 Volume 62, Number 6, Page 1056 (Mi zvmmf11416)

Computer science

Diffraction of sound plane waves by a strip with mixed soft-hard faces

F. Hacivelioglu

Department of Mathematics, Gebze Technical University, 41400 Kocaeli, Gebze, Turkey

Abstract: In this paper, doubly diffracted fields by the strip with half soft and half hard boundary conditions on the upper face and totally hard boundary condition on the lower face are investigated by using spectral iteration technique with Wiener–Hopf method. The effects of the non-symmetrical end edges of the strip to the doubly diffracted field created at the edge (junction) on the upper face of the strip are studied. Numerical results are presented for the different parameters of the problem.

Key words: Dirichlet boundary condition, secondary diffraction, soft and hard boundary conditions, mixed boundary value problem, Neumann boundary condition, spectral iteration technique, Wiener–Hopf method,.

Received: 24.09.2021
Revised: 24.09.2021
Accepted: 11.02.2022

DOI: 10.31857/S0044466922060084


 English version:
Computational Mathematics and Mathematical Physics, 2022, 62:6, 1020–1031

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© Steklov Math. Inst. of RAS, 2024